Romelu Lukaku opened the scoring for Roma - his first goal from open play against Juventus - with defender Bremer levelling shortly after the half-hour mark.
Third-placed Juventus, winless in their last five matches, are six points ahead of Roma in fifth, with three rounds remaining.
The top five in Serie A will qualify for the Champions League after Italy earned an extra spot in next season's continental competition.
Roma are three points above sixth-placed Atalanta, who have two games in hand.
AC Milan fans protested during the team's 3-3 draw against Genoa.
There was a strange atmosphere at San Siro as the Milan ultras - who also unveiled banners calling for more ambition, communication and a clear transfer strategy - remained silent during the match and left 10 minutes before the final whistle.
Milan were leading 3-2 by then, after recovering from Mateo Retegui's early penalty, but conceded a comical third goal as Morten Thorsby's cross ricocheted off Retegui and defenders Fikayo Tomori and Malick Thiaw for an own goal.
The draw brought a sixth successive match without a win for Milan, who nevertheless remain second behind city rivals and champions Inter, and mathematically assured of Champions League football next season.
Hellas Verona boosted their chances of Serie A survival with a 2-1 win over Fiorentina as fellow strugglers Empoli and Frosinone played out a disappointing 0-0 draw.
All three teams had been locked on 31 points ahead of the weekend, just two points above the relegation zone.
Verona moved five points clear of 18th-placed Udinese, who host Napoli on Monday.
Cagliari inched four points clear despite conceding late in a 1-1 draw with Lecce after playing the entire second half with 10 men.
Winger Gianluca Gaetano was shown a straight red card for a dangerous tackle on Lecce midfielder Ylber Ramadani shortly before halftime.
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