Index: Ringtoets/Common/src/Ringtoets.Common.IO/SurfaceLines/SurfaceLineExtensions.cs
===================================================================
diff -u -rfc91936524e52aeab541d4e72d15c5ff7832fee5 -r024957c81d6192c2cf8e6026fccc131c1fe81b19
--- Ringtoets/Common/src/Ringtoets.Common.IO/SurfaceLines/SurfaceLineExtensions.cs	(.../SurfaceLineExtensions.cs)	(revision fc91936524e52aeab541d4e72d15c5ff7832fee5)
+++ Ringtoets/Common/src/Ringtoets.Common.IO/SurfaceLines/SurfaceLineExtensions.cs	(.../SurfaceLineExtensions.cs)	(revision 024957c81d6192c2cf8e6026fccc131c1fe81b19)
@@ -100,12 +100,13 @@
 
                     if (result.IntersectionType == Intersection2DType.Intersects)
                     {
-                        if (intersectionPoint != null)
+                        Point2D resultIntersectionPoint = result.IntersectionPoints[0];
+                        if (intersectionPoint != null && !intersectionPoint.Equals(resultIntersectionPoint))
                         {
                             // Early exit as multiple intersections is a return result:
                             return ReferenceLineIntersectionResult.CreateMultipleIntersectionsOrOverlapResult();
                         }
-                        intersectionPoint = result.IntersectionPoints[0];
+                        intersectionPoint = resultIntersectionPoint;
                     }
 
                     if (result.IntersectionType == Intersection2DType.Overlaps)
Index: Ringtoets/Common/test/Ringtoets.Common.IO.Test/SurfaceLines/SurfaceLineExtensionsTest.cs
===================================================================
diff -u -rfc91936524e52aeab541d4e72d15c5ff7832fee5 -r024957c81d6192c2cf8e6026fccc131c1fe81b19
--- Ringtoets/Common/test/Ringtoets.Common.IO.Test/SurfaceLines/SurfaceLineExtensionsTest.cs	(.../SurfaceLineExtensionsTest.cs)	(revision fc91936524e52aeab541d4e72d15c5ff7832fee5)
+++ Ringtoets/Common/test/Ringtoets.Common.IO.Test/SurfaceLines/SurfaceLineExtensionsTest.cs	(.../SurfaceLineExtensionsTest.cs)	(revision 024957c81d6192c2cf8e6026fccc131c1fe81b19)
@@ -83,6 +83,36 @@
         }
 
         [Test]
+        public void CheckReferenceLineInterSections_SurfaceLineThroughReferenceLinePoint_ReturnIntersectionPoint()
+        {
+            // Setup
+            var referenceLine = new ReferenceLine();
+
+            const string surfaceLineName = "somewhere";
+            var surfaceLine = new SurfaceLine
+            {
+                Name = surfaceLineName
+            };
+            surfaceLine.SetGeometry(new[]
+            {
+                new Point3D(3.0, 4.0, 2.1),
+                new Point3D(3.0, 5.0, 2.1)
+            });
+            referenceLine.SetGeometry(new[]
+            {
+                new Point2D(2.0, 4.5),
+                new Point2D(3.0, 4.5),
+                new Point2D(4.0, 4.5)
+            });
+
+            // Call
+            Point2D result = surfaceLine.GetSingleReferenceLineInterSection(referenceLine);
+
+            // Assert
+            Assert.AreEqual(new Point2D(3.0, 4.5), result);
+        }
+
+        [Test]
         public void CheckReferenceLineInterSections_SurfaceLineNotOnReferenceLine_ThrowSurfaceLineTransformerException()
         {
             // Setup
@@ -113,7 +143,7 @@
         }
 
         [Test]
-        public void CheckReferenceLineInterSections_SurfaceLineIntersectsReferenceLineMultipleTimes_ThrowSurfaceLineTransformerException()
+        public void CheckReferenceLineInterSections_SurfaceLineIntersectsReferenceLineMultipleTimesInSamePoint_ReturnsIntersectionPoint()
         {
             // Setup
             var referenceLine = new ReferenceLine();
@@ -126,7 +156,8 @@
             surfaceLine.SetGeometry(new[]
             {
                 new Point3D(1.0, 5.0, 2.1),
-                new Point3D(1.0, 3.0, 2.1)
+                new Point3D(1.0, 3.0, 2.1),
+                new Point3D(1.0, 5.0, 2.1) 
             });
             referenceLine.SetGeometry(new[]
             {
@@ -136,6 +167,36 @@
             });
 
             // Call
+            Point2D result = surfaceLine.GetSingleReferenceLineInterSection(referenceLine);
+
+            // Assert
+            Assert.AreEqual(new Point2D(1.0, 4.0), result);
+        }
+
+        [Test]
+        public void CheckReferenceLineInterSections_SurfaceLineIntersectsReferenceLineMultipleTimesInDifferentPoints_ThrowSurfaceLineTransformerException()
+        {
+            // Setup
+            var referenceLine = new ReferenceLine();
+
+            const string surfaceLineName = "somewhere";
+            var surfaceLine = new SurfaceLine
+            {
+                Name = surfaceLineName
+            };
+            surfaceLine.SetGeometry(new[]
+            {
+                new Point3D(1.0, 5.0, 2.1),
+                new Point3D(1.0, 3.0, 2.1)
+            });
+            referenceLine.SetGeometry(new[]
+            {
+                new Point2D(0.0, 5.0),
+                new Point2D(2.0, 4.0),
+                new Point2D(0.0, 3.0)
+            });
+
+            // Call
             TestDelegate test = () => surfaceLine.GetSingleReferenceLineInterSection(referenceLine);
 
             // Assert
Index: Ringtoets/MacroStabilityInwards/test/Ringtoets.MacroStabilityInwards.IO.Test/Importers/MacrostabilityInwardsSurfaceLineTransformerTest.cs
===================================================================
diff -u -rfc91936524e52aeab541d4e72d15c5ff7832fee5 -r024957c81d6192c2cf8e6026fccc131c1fe81b19
--- Ringtoets/MacroStabilityInwards/test/Ringtoets.MacroStabilityInwards.IO.Test/Importers/MacrostabilityInwardsSurfaceLineTransformerTest.cs	(.../MacrostabilityInwardsSurfaceLineTransformerTest.cs)	(revision fc91936524e52aeab541d4e72d15c5ff7832fee5)
+++ Ringtoets/MacroStabilityInwards/test/Ringtoets.MacroStabilityInwards.IO.Test/Importers/MacrostabilityInwardsSurfaceLineTransformerTest.cs	(.../MacrostabilityInwardsSurfaceLineTransformerTest.cs)	(revision 024957c81d6192c2cf8e6026fccc131c1fe81b19)
@@ -175,9 +175,9 @@
             });
             referenceLine.SetGeometry(new[]
             {
-                new Point2D(0.0, 4.0),
+                new Point2D(0.0, 5.0),
                 new Point2D(2.0, 4.0),
-                new Point2D(0.0, 4.0)
+                new Point2D(0.0, 3.0)
             });
 
             // Call
Index: Ringtoets/Piping/test/Ringtoets.Piping.IO.Test/Importers/PipingSurfaceLineTransformerTest.cs
===================================================================
diff -u -rfc91936524e52aeab541d4e72d15c5ff7832fee5 -r024957c81d6192c2cf8e6026fccc131c1fe81b19
--- Ringtoets/Piping/test/Ringtoets.Piping.IO.Test/Importers/PipingSurfaceLineTransformerTest.cs	(.../PipingSurfaceLineTransformerTest.cs)	(revision fc91936524e52aeab541d4e72d15c5ff7832fee5)
+++ Ringtoets/Piping/test/Ringtoets.Piping.IO.Test/Importers/PipingSurfaceLineTransformerTest.cs	(.../PipingSurfaceLineTransformerTest.cs)	(revision 024957c81d6192c2cf8e6026fccc131c1fe81b19)
@@ -134,9 +134,9 @@
             });
             referenceLine.SetGeometry(new[]
             {
-                new Point2D(0.0, 4.0),
+                new Point2D(0.0, 5.0),
                 new Point2D(2.0, 4.0),
-                new Point2D(0.0, 4.0)
+                new Point2D(0.0, 3.0)
             });
 
             // Call