diff --git a/fmtm_splitter/splitter.py b/fmtm_splitter/splitter.py
index 18ede23..334b386 100755
--- a/fmtm_splitter/splitter.py
+++ b/fmtm_splitter/splitter.py
@@ -154,7 +154,10 @@ def splitBySquare(  # noqa: N802
         polygons = []
         for x in cols[:-1]:
             for y in rows[:-1]:
-                polygons.append(box(x, y, x + width, y + length))
+                grid_polygon = Polygon([(x, y), (x + width, y), (x + width, y + length), (x, y + length)])
+                clipped_polygon = grid_polygon.intersection(self.aoi)
+                if not clipped_polygon.is_empty:
+                    polygons.append(clipped_polygon)
 
         self.split_features = FeatureCollection([Feature(geometry=poly) for poly in polygons])
         return self.split_features