Dusan Vlahovic netted a sensational free-kick to give Juve the lead after just two minutes.
Manuel Locatelli fired in a first-time effort from 20 yards but it was ruled out by the video assistant referee for a Vlahovic handball.
Abraham scored his first goal of the season with a powerful header from Paulo Dybala’s ball across the box.
Former Chelsea striker Abraham is now the joint third top English goalscorer in Serie A history, level with Trevor Francis on 18 goals. Gerald Hitchens scored 59 and David Platt 31.
Jose Mourinho’s Roma are on seven points from three games, with Juventus on five.
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Champions AC Milan are top of the table after Rafael Leao and Olivier Giroud scored in a 2-0 win over Bologna.
