diff --git a/.gitignore b/.gitignore
index 3af88c1..da5b19a 100644
--- a/.gitignore
+++ b/.gitignore
@@ -7,6 +7,7 @@ dist/
 prof/
 *.egg-info/
 .eggs/
+.tox/
 .coverage
 coverage.xml
 
diff --git a/camelot/parsers/hybrid.py b/camelot/parsers/hybrid.py
index 2488ed3..b80afc1 100644
--- a/camelot/parsers/hybrid.py
+++ b/camelot/parsers/hybrid.py
@@ -333,7 +333,7 @@ class TextNetworks(TextAlignments):
             key=lambda textline:
             (
                 self._textline_to_alignments[textline].alignment_score(),
-                -textline.y0
+                -textline.y0, -textline.x0
             ),
             default=None
         )
diff --git a/camelot/plotting.py b/camelot/plotting.py
index e390464..7f009be 100644
--- a/camelot/plotting.py
+++ b/camelot/plotting.py
@@ -326,7 +326,11 @@ class PlotMethods():
                         alpha=0.5
                     )
                 )
-                for tl, alignments in network._textline_to_alignments.items():
+                for tl in sorted(
+                            network._textline_to_alignments.keys(),
+                            key=lambda textline: (-textline.y0, textline.x0)
+                        ):
+                    alignments = network._textline_to_alignments[tl]
                     coords = get_textline_coords(tl)
                     alignment_id_h, tls_h = alignments.max_v()
                     alignment_id_v, tls_v = alignments.max_h()
diff --git a/tests/files/baseline_plots/test_hybrid_contour_plot.png b/tests/files/baseline_plots/test_hybrid_contour_plot.png
index 1b40ee9..10b3b1d 100644
Binary files a/tests/files/baseline_plots/test_hybrid_contour_plot.png and b/tests/files/baseline_plots/test_hybrid_contour_plot.png differ
diff --git a/tests/files/baseline_plots/test_hybrid_table_areas_text_plot.png b/tests/files/baseline_plots/test_hybrid_table_areas_text_plot.png
index 76c4bf7..e68544f 100644
Binary files a/tests/files/baseline_plots/test_hybrid_table_areas_text_plot.png and b/tests/files/baseline_plots/test_hybrid_table_areas_text_plot.png differ
diff --git a/tests/files/baseline_plots/test_hybrid_table_regions_textedge_plot.png b/tests/files/baseline_plots/test_hybrid_table_regions_textedge_plot.png
index 1c4c6ab..8a7f9fc 100644
Binary files a/tests/files/baseline_plots/test_hybrid_table_regions_textedge_plot.png and b/tests/files/baseline_plots/test_hybrid_table_regions_textedge_plot.png differ
diff --git a/tests/files/baseline_plots/test_hybrid_textedge_plot.png b/tests/files/baseline_plots/test_hybrid_textedge_plot.png
index 8ac228e..6919d97 100644
Binary files a/tests/files/baseline_plots/test_hybrid_textedge_plot.png and b/tests/files/baseline_plots/test_hybrid_textedge_plot.png differ
diff --git a/tests/test_plotting.py b/tests/test_plotting.py
index a0d17fb..7485c90 100644
--- a/tests/test_plotting.py
+++ b/tests/test_plotting.py
@@ -3,7 +3,6 @@
 import os
 
 import pytest
-
 import matplotlib
 
 import camelot
@@ -16,7 +15,7 @@ import camelot
 # To force upgrade:
 #   pip install --upgrade --force-reinstall matplotlib
 # To force usage of a Python 3.6 compatible version:
-#   pip install "matplotlib==2.2.5"
+#   pip install "matplotlib==3.0.3"
 # This condition can be removed in favor of a version requirement bump for
 # matplotlib once support for Python 3.5 is dropped.
 
@@ -26,43 +25,43 @@ testdir = os.path.dirname(os.path.abspath(__file__))
 testdir = os.path.join(testdir, "files")
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
+def unit_test_stable_plot(table, kind):
+    if not LEGACY_MATPLOTLIB:
+        # See https://matplotlib.org/3.2.1/users/whats_new.html#kerning-adjustments-now-use-correct-values  # noqa
+        matplotlib.rcParams["text.kerning_factor"] = 6
+    return camelot.plot(table, kind=kind)
+
+
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_text_plot():
     filename = os.path.join(testdir, "foo.pdf")
     tables = camelot.read_pdf(filename)
-    return camelot.plot(tables[0], kind='text')
+    return unit_test_stable_plot(tables[0], 'text')
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_grid_plot():
     filename = os.path.join(testdir, "foo.pdf")
     tables = camelot.read_pdf(filename)
-    return camelot.plot(tables[0], kind='grid')
+    return unit_test_stable_plot(tables[0], 'grid')
+
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_stream_grid_plot():
     filename = os.path.join(testdir, "foo.pdf")
     tables = camelot.read_pdf(filename, flavor="stream")
-    return camelot.plot(tables[0], kind='grid')
+    return unit_test_stable_plot(tables[0], 'grid')
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_hybrid_grid_plot():
     filename = os.path.join(testdir, "foo.pdf")
     tables = camelot.read_pdf(filename, flavor="hybrid")
-    return camelot.plot(tables[0], kind='grid')
+    return unit_test_stable_plot(tables[0], 'grid')
 
 
 @pytest.mark.mpl_image_compare(
@@ -70,67 +69,55 @@ def test_hybrid_grid_plot():
 def test_lattice_contour_plot():
     filename = os.path.join(testdir, "foo.pdf")
     tables = camelot.read_pdf(filename)
-    return camelot.plot(tables[0], kind='contour')
+    return unit_test_stable_plot(tables[0], 'contour')
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_stream_contour_plot():
     filename = os.path.join(testdir, "tabula/12s0324.pdf")
     tables = camelot.read_pdf(filename, flavor='stream')
-    return camelot.plot(tables[0], kind='contour')
+    return unit_test_stable_plot(tables[0], 'contour')
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_hybrid_contour_plot():
     filename = os.path.join(testdir, "tabula/12s0324.pdf")
     tables = camelot.read_pdf(filename, flavor='hybrid')
-    return camelot.plot(tables[0], kind='contour')
+    return unit_test_stable_plot(tables[0], 'contour')
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_line_plot():
     filename = os.path.join(testdir, "foo.pdf")
     tables = camelot.read_pdf(filename)
-    return camelot.plot(tables[0], kind='line')
+    return unit_test_stable_plot(tables[0], 'line')
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_joint_plot():
     filename = os.path.join(testdir, "foo.pdf")
     tables = camelot.read_pdf(filename)
-    return camelot.plot(tables[0], kind='joint')
+    return unit_test_stable_plot(tables[0], 'joint')
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_stream_textedge_plot():
     filename = os.path.join(testdir, "tabula/12s0324.pdf")
     tables = camelot.read_pdf(filename, flavor='stream')
-    return camelot.plot(tables[0], kind='textedge')
+    return unit_test_stable_plot(tables[0], 'textedge')
 
 
-@pytest.mark.skipif(LEGACY_MATPLOTLIB,
-                    reason="depends on a recent version of MatPlotLib")
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
 def test_hybrid_textedge_plot():
     filename = os.path.join(testdir, "tabula/12s0324.pdf")
     tables = camelot.read_pdf(filename, debug=True, flavor='hybrid')
-    return camelot.plot(tables[0], kind='textedge')
+    return unit_test_stable_plot(tables[0], 'textedge')
 
 
 @pytest.mark.mpl_image_compare(
@@ -141,7 +128,8 @@ def test_hybrid_table_regions_textedge_plot():
         filename, debug=True, flavor="hybrid",
         table_regions=["320,505,573,330"]
     )
-    return camelot.plot(tables[0], kind='textedge')
+    return unit_test_stable_plot(tables[0], 'textedge')
+
 
 @pytest.mark.mpl_image_compare(
     baseline_dir="files/baseline_plots", remove_text=True)
@@ -151,4 +139,4 @@ def test_hybrid_table_areas_text_plot():
         filename, debug=True, flavor="hybrid",
         table_areas=["320,500,573,335"]
     )
-    return camelot.plot(tables[0], kind='text')
+    return unit_test_stable_plot(tables[0], 'text')