Manchester City were denied a win when Gabriel Jesus saw a stoppage-time winner disallowed on review for a handball by Aymeric Laporte.
Christian Eriksen played his part as Tottenham came from behind to beat newly-promoted Aston Villa 3-1.
Arsenal were badly in need of defensive recruits to shore up a backline that conceded 51 Premier League goals last season.
Harry Kane scored the only goal of the game with a deft finish after pouncing on a disastrous pass by Marcelo.
Tottenham Hotspur edged Juventus 3-2 in an entertaining pre-season friendly in Singapore on Sunday.
Zinedine Zidane said the club were working on Gareth Bale's departure, adding that he hoped it happens soon, "for everyone's sake".
Lucas Moura was left on the bench for the final in spite of scoring a dramatic hat-trick in Tottenham Hotspur's stunning semi-final comeback at Ajax.
Mauricio Pochettino said he was keen to continue with the five-year "project" that has seen Tottenham establish themselves in the Premier League top four.
Atletico said on their website they had signed a "fantastic and experienced player from the Champions League runner up".
Supporters turned Liverpool into a sea of red as the open-top bus carrying coach Jurgen Klopp and his victorious players edged through the city.
Liverpool fans took to the streets of Madrid to celebrate victory in their Champions League final against Tottenham.
Liverpool beat Tottenham Hotspur 2-0 in Madrid on Saturday and won the trophy for the sixth time.
Champions League Final 2019: Five-time Champions Liverpool take on first-time finalists Tottenham Hotspur.
Liverpool are aiming to make up for the disappointment of several recent near misses while Tottenham Hotspur dream of winning the Champions League for the first time.
Combined, it has been 18 years - seven for Liverpool, 11 for Tottenham - since either lifted a trophy, despite huge strides made in recent years.
Abhishek Bachchan, who is a Chelsea fan, replied to Harry Kane's tweet with an old image of Virat Kohli posing with a Blues' jersey.
Manchester City could become the first side to ever win a domestic treble in England should they beat Watford in the FA Cup final next weekend.
Harry Kane has been sidelined since sustaining an ankle injury in a challenge on Manchester City's Fabian Delph in the quarter-final first leg on April 9.