Di Francesco, 49, was part of the last title-winning Roma team as a player in 2001 and took over the club in the summer of 2017.
After cancelling out Roma's 2-1 first-leg lead to take the tie beyond 90 minutes, Telles' late strike, after a Video Assistant Referee review, earned them a 4-3 aggregate victory, and increased the pressure on the Italians' manager Eusebio Di Francesco.
Club president Jim Pallotta said: "On behalf of myself and everyone at AS Roma, I'd like to thank Eusebio for his work and his commitment".
Marega did give Porto the lead in the 52nd minute when he met a cross from Jesus Manuel Corona inside the box and produced a clinical finish to make it 2-1 (3-3 on aggregate).
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The objective of the exercise was to test the speed of deployment and coordinate with Israel's own air defense systems. The move is meant to demonstrate the United States' ongoing commitment to Israel's security, the statement added.
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Butts left his job as principal secretary on February 18, saying it was in the best interest of the government for him to step down.
He also brought them to the semi-finals of the Champions League after a memorable win over Barcelona, in which they overturned a three-goal first-leg deficit.
Although Roma are fifth in Serie A, they have had a rollercoaster season with defeats by Udinese, Bologna and SPAL, all teams in the lower half of the table. "It's remarkable, because I said last season we'd be in the final if there was VAR against Liverpool, yet here we are again. I know this isn't our best season and the job of a coach will always be tied to results".
The 67-year-old Italian's brief spell as manager of Premier League strugglers Fulham ended last month after only four months in charge.