The Polish international, 32, beat off opposition from Manchester City’s midfielder, Kevin De Bruyne, and Bayern team-mate, Manuel Neuer.
Browsing: Bayern Munich
Dortmund fought back from 2-0 down to level the score, before the two goalkeepers made the difference.
Bayern Munich, who won four titles this year, lost Sunday’s league game at Hoffenheim 4-1 to suffer their first defeat of 2020.
The Bundesliga club were thrashed 8-0 by champions Bayern Munich in their opener last weekend and then suffered a 3-1 defeat by Werder Bremen on Saturday.
Bayern Munich, winners of the UEFA Super Cup against Sevilla after extra time on Thursday, had not lost since December 7, 2019.
The match was the first European game played with fans in the stands since the sport returned amid the COVID-19 pandemic.
The arrival is happening just as much of the continent tightens its social restrictions against a second wave of the virus.
UEFA Champions League winners Bayern Munich are offering free testing for ticket-holders until Tuesday, ahead of Thursday’s match against Europa League champions Sevilla, and on their return.
Inter Milan’s official Twitter account published a photo of Vidal’s arrival and a video of the 33-year-old player saluting fans, saying: “Hi Inter, I’m here.”
It was a sensational start to the new Bundesliga season and the win sent an ominous warning to potential challengers
The 29-year-old joins in a deal reported to be worth up to £27 million, having asked to leave Bayern in search of a new challenge after helping them to win the treble last season.
British media reported the deal will cost the Premier League champions around 20 million pounds ($25.81 million), with five million pounds in add-ons.
Messi helped set up Philippe Coutinho, back from his loan at Bayern Munich, for the first goal after 21 minutes.
The French forward had to settle for the 17 jersey for his debut campaign with the Catalan club because the 7 was occupied by Philippe Coutinho, who later left on loan to join Bayern Munich.
Bayern Munich players underwent coronavirus tests and then had a cyber training session from their homes, with the first full session on the training ground not scheduled until Friday.
Neuer played a major role in the UCL triumph with a clean sheet in six of the 11 games and strong saves in the semi-final and final.
The 29-year-old has signed a two-year deal with an option for a third season in a move that sees him link up with Carlo Ancelotti for the third time, having played under him at Bayern Munich and Real
Messi rocked FC Barcelona last month when his lawyers told the club he wanted to activate a clause in his contract
This has come in the wake of the decision to close the country’s borders to curb a rise in coronavirus cases.
Bayern Munich beat Paris St-Germain 1-0 in Lisbon to add the UEFA Champions League trophy to their German league and Cup double.