diff --git a/NEWS.md b/NEWS.md
index 3f8bf9b43b..b59293b734 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -10,8 +10,8 @@
   - BufferOp returns POLYGON EMPTY when fed Inf/Nan coords (GH-1332)
   - Return Inf when calculating distance to an empty geometry (GH-1345, Even Rouault)
 
-
 - Fixes/Improvements:
+  - GEOSSnap: Recursively snap segments till nothing moves (#760, Sandro Santilli)
   - Buffer of Linestring includes spurious hole (GH-1217, Moritz Kirmse)
   - Preserve M values in GEOSInterpolate (GH-1390, Dan Baston)
   - Preserve M values in GEOSLineMerge (GH-1364, Dan Baston)
diff --git a/src/operation/overlay/snap/LineStringSnapper.cpp b/src/operation/overlay/snap/LineStringSnapper.cpp
index d196414a71..6679462040 100644
--- a/src/operation/overlay/snap/LineStringSnapper.cpp
+++ b/src/operation/overlay/snap/LineStringSnapper.cpp
@@ -239,6 +239,12 @@ LineStringSnapper::snapSegments(geom::CoordinateList& srcCoords,
     std::cerr << "Snapping segments of: " << srcCoords << std::endl;
 #endif
 
+	// Recursively snap segments till nothing moves
+	// See https://trac.osgeo.org/geos/ticket/760
+    bool moved = false;
+    do
+    {
+    moved = false;
     for(Coordinate::ConstVect::const_iterator
             it = snapPts.begin(), end = snapPts.end();
             it != end;
@@ -261,6 +267,8 @@ LineStringSnapper::snapSegments(geom::CoordinateList& srcCoords,
             continue;
         }
 
+        moved = true;
+
         /* Check if the snap point falls outside of the segment */
         // If the snap point is outside, this means that an endpoint
         // was not snap where it should have been
@@ -376,6 +384,8 @@ LineStringSnapper::snapSegments(geom::CoordinateList& srcCoords,
             srcCoords.insert(segpos, snapPt);
         }
     }
+    // while things keep moving
+    } while (moved);
 
 #if GEOS_DEBUG
     std::cerr << " After segment snapping, srcCoors are: " << srcCoords << std::endl;
diff --git a/tests/unit/operation/overlay/snap/LineStringSnapperTest.cpp b/tests/unit/operation/overlay/snap/LineStringSnapperTest.cpp
index 6342b4243e..af44e7b62d 100644
--- a/tests/unit/operation/overlay/snap/LineStringSnapperTest.cpp
+++ b/tests/unit/operation/overlay/snap/LineStringSnapperTest.cpp
@@ -355,4 +355,46 @@ void object::test<9>
     ensure_equals(ret->operator[](4), snp_a); //  0 0
 }
 
+  // Recursive snap of segments
+  // See https://trac.osgeo.org/geos/ticket/760
+  template<>
+  template<>
+  void object::test<10>()
+  {
+    using geos::geom::Coordinate;
+    using geos::operation::overlay::snap::LineStringSnapper;
+
+    typedef std::auto_ptr<Coordinate::Vect> CoordsVectAptr;
+
+
+    // Source: (0 0,0 20)
+    Coordinate src_a(0, 0);
+    Coordinate src_b(0, 20);
+    Coordinate::Vect srcCoords;
+    srcCoords.push_back(src_a);
+    srcCoords.push_back(src_b);
+
+    // Snap: (1.5 17,1 18,0.5 19)
+    Coordinate snp_a(1.5, 17);
+    Coordinate snp_b(1, 18);
+    Coordinate snp_c(0.5, 19);
+    Coordinate::ConstVect snpCoords;
+    snpCoords.push_back( &snp_a );
+    snpCoords.push_back( &snp_b );
+    snpCoords.push_back( &snp_c );
+
+    // Snap with tolerance of 0.8
+    // (both first and second point could be snapped)
+    LineStringSnapper snapper(srcCoords, 0.8);
+
+    // Expect: (0 0,1.5 17,1 18,0.5 19,0 20)
+    CoordsVectAptr ret(snapper.snapTo(snpCoords));
+    ensure_equals(ret->size(), 5u);
+    ensure_equals(ret->operator[](0), src_a); //  0 0
+    ensure_equals(ret->operator[](1), snp_a); //  1.5 17
+    ensure_equals(ret->operator[](2), snp_b); //  1 18
+    ensure_equals(ret->operator[](3), snp_c); //  0.5 19
+    ensure_equals(ret->operator[](4), src_b); //  0 20
+  }
+
 } // namespace tut