diff --git a/src/gmt_api.c b/src/gmt_api.c
index 369fa8ee3c9..c864ddcaec1 100644
--- a/src/gmt_api.c
+++ b/src/gmt_api.c
@@ -5522,6 +5522,10 @@ GMT_LOCAL struct GMT_GRID *gmtapi_import_grid (struct GMTAPI_CTRL *API, int obje
 					else if (S_obj->wesn[XHI] < G_obj->header->wesn[XLO]) { /* Must first wrap G_obj->header->wesn east to fit the data */
 						G_obj->header->wesn[XLO] -= 360.0;	G_obj->header->wesn[XHI] -= 360.0;
 					}
+					if (S_obj->wesn[XLO] < G_obj->header->wesn[XLO]) {
+						/* Must wrap G_obj->header.wesn so the left bound in S_obj is smaller larger than that in G_obj, otherwise i0 is negative (but it's defined as unsigned int */
+						G_obj->header->wesn[XLO] -= 360.0;	G_obj->header->wesn[XHI] -= 360.0;
+					}
 				}
 				j1 = (unsigned int)gmt_M_grd_y_to_row (GMT, S_obj->wesn[YLO]+dy, G_obj->header);
 				j0 = (unsigned int)gmt_M_grd_y_to_row (GMT, S_obj->wesn[YHI]-dy, G_obj->header);
@@ -6341,7 +6345,11 @@ GMT_LOCAL struct GMT_CUBE * gmtapi_import_cube (struct GMTAPI_CTRL *API, int obj
 					if (S_obj->wesn[XLO] > U_obj->header->wesn[XHI]) { /* Must first wrap U_obj->header->wesn west to fit the data */
 						U_obj->header->wesn[XLO] += 360.0;	U_obj->header->wesn[XHI] += 360.0;
 					}
-					else if (S_obj->wesn[XHI] < U_obj->header->wesn[XLO]) { /* Must first wrap G_obj->header->wesn east to fit the data */
+					else if (S_obj->wesn[XHI] < U_obj->header->wesn[XLO]) { /* Must first wrap U_obj->header->wesn east to fit the data */
+						U_obj->header->wesn[XLO] -= 360.0;	U_obj->header->wesn[XHI] -= 360.0;
+					}
+					if (S_obj->wesn[XLO] < U_obj->header->wesn[XLO]) {
+						/* Must wrap U_obj->header.wesn so the left bound in S_obj is smaller larger than that in U_obj, otherwise i0 is negative (but it's defined as unsigned int */
 						U_obj->header->wesn[XLO] -= 360.0;	U_obj->header->wesn[XHI] -= 360.0;
 					}
 				}