diff --git a/src/dynamicMesh/polyMeshAdder/faceCoupleInfo.C b/src/dynamicMesh/polyMeshAdder/faceCoupleInfo.C
index b4f8f7449f..3b691ba0f5 100644
--- a/src/dynamicMesh/polyMeshAdder/faceCoupleInfo.C
+++ b/src/dynamicMesh/polyMeshAdder/faceCoupleInfo.C
@@ -2,7 +2,7 @@
   =========                 |
   \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
    \\    /   O peration     |
-    \\  /    A nd           | Copyright (C) 2011-2016 OpenFOAM Foundation
+    \\  /    A nd           | Copyright (C) 2011-2017 OpenFOAM Foundation
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
 License
@@ -1475,12 +1475,13 @@ void Foam::faceCoupleInfo::perfectPointMatch
         // Faces do not have to be ordered (but all have
         // to match). Note: Faces will be already ordered if we enter here from
         // construct from meshes.
+
         matchedAllFaces = matchPoints
         (
             calcFaceCentres<List>
             (
                 cutFaces(),
-                cutPoints_,
+                cutFaces().points(),
                 0,
                 cutFaces().size()
             ),
@@ -1492,9 +1493,43 @@ void Foam::faceCoupleInfo::perfectPointMatch
                 slavePatch().size()
             ),
             scalarField(slavePatch().size(), absTol),
-            true,
+            false,
             cutToSlaveFaces_
         );
+
+        // If some of the face centres did not match, then try to match the
+        // point averages instead. There is no division by the face area in
+        // calculating the point average, so this is more stable when faces
+        // collapse onto a line or point.
+        if (!matchedAllFaces)
+        {
+            labelList cutToSlaveFacesTemp(cutToSlaveFaces_.size(), -1);
+
+            matchPoints
+            (
+                calcFacePointAverages<List>
+                (
+                    cutFaces(),
+                    cutFaces().points(),
+                    0,
+                    cutFaces().size()
+                ),
+                calcFacePointAverages<IndirectList>
+                (
+                    slavePatch(),
+                    slavePatch().points(),
+                    0,
+                    slavePatch().size()
+                ),
+                scalarField(slavePatch().size(), absTol),
+                true,
+                cutToSlaveFacesTemp
+            );
+
+            cutToSlaveFaces_ = max(cutToSlaveFaces_, cutToSlaveFacesTemp);
+
+            matchedAllFaces = min(cutToSlaveFaces_) != -1;
+        }
     }
 
 
diff --git a/src/dynamicMesh/polyMeshAdder/faceCoupleInfo.H b/src/dynamicMesh/polyMeshAdder/faceCoupleInfo.H
index b5d7b1fe28..28137d41b1 100644
--- a/src/dynamicMesh/polyMeshAdder/faceCoupleInfo.H
+++ b/src/dynamicMesh/polyMeshAdder/faceCoupleInfo.H
@@ -2,7 +2,7 @@
   =========                 |
   \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
    \\    /   O peration     |
-    \\  /    A nd           | Copyright (C) 2011-2016 OpenFOAM Foundation
+    \\  /    A nd           | Copyright (C) 2011-2017 OpenFOAM Foundation
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
 License
@@ -218,6 +218,16 @@ class faceCoupleInfo
                 const label size
             );
 
+            //- Calculate face point averages from (subset of) faces.
+            template<template<class> class FaceList>
+            static pointField calcFacePointAverages
+            (
+                const FaceList<face>&,
+                const pointField&,
+                const label start,
+                const label size
+            );
+
             //- Write edges
             static void writeOBJ
             (
diff --git a/src/dynamicMesh/polyMeshAdder/faceCoupleInfoTemplates.C b/src/dynamicMesh/polyMeshAdder/faceCoupleInfoTemplates.C
index 3b25a6da51..2158c0c92a 100644
--- a/src/dynamicMesh/polyMeshAdder/faceCoupleInfoTemplates.C
+++ b/src/dynamicMesh/polyMeshAdder/faceCoupleInfoTemplates.C
@@ -2,7 +2,7 @@
   =========                 |
   \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
    \\    /   O peration     |
-    \\  /    A nd           | Copyright (C) 2011-2016 OpenFOAM Foundation
+    \\  /    A nd           | Copyright (C) 2011-2017 OpenFOAM Foundation
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
 License
@@ -49,4 +49,29 @@ Foam::pointField Foam::faceCoupleInfo::calcFaceCentres
 }
 
 
+template<template<class> class FaceList>
+Foam::pointField Foam::faceCoupleInfo::calcFacePointAverages
+(
+    const FaceList<face>& faces,
+    const pointField& points,
+    const label start,
+    const label size
+)
+{
+    pointField fpa(size, Zero);
+
+    label facei = start;
+
+    forAll(fpa, i)
+    {
+        forAll(faces[facei], j)
+        {
+            fpa[i] += points[faces[facei][j]];
+        }
+        fpa[i] /= faces[facei++].size();
+    }
+    return fpa;
+}
+
+
 // ************************************************************************* //