Solihull missed the chance to move into the Vanarama National League play-off places as they drew 0-0 at Sutton.
Moors hit the crossbar and post in the second half but could not find a winner that would have taken them up to seventh.
Sutton, who had failed to score in their last two games, could have taken the lead when Harry Beautyman dragged a shot wide before Tommy Wright forced a save out of Solihull goalkeeper Ryan Boot.
Jason Cowley headed wide for the visitors who also went close through Kyle Storer before the interval.
Sutton had two major scares in the space of four second-half minutes, with Cowley striking an effort off the crossbar before Callum Howe was denied by a post, but they held on to claim a point.