Liverpool is still without a win under Brendan Rogers after losing 2-1 to Roma in a pre-season club international at Fenway Park in Boston.
The Reds then had a chance to take the lead on the half hour mark when Alberto Aquilani combined with Joe Cole - both returning loan players looking to press their claims for a regular starting berth - but the latter's lobbed shot hit the cross bar.
Alessandro Florenzi doubled Roma's lead with 20 minutes remaining.
Charlie Adam grabbed a consolation goal for Liverpool.
Roma has vowed to ban any supporters identifiable as responsible for the racial abuse of AC Milan striker Mario Balotelli.