The Arsenal star was in Paris on Friday for talks with PSG's sporting director and chief executive ahead of a prospective €50 million move to Ligue 1.
The Spain international is yet to agree terms with the Premier League champions but is set to replace the departing Diego Costa at Stamford Bridge.
Aaron Ramsey was decisive as he scored late on to give Arsenal a record 13th FA Cup crown in a 2-1 win over 10-man Chelsea.
Sergio Aguero struck twice, while Vincent Kompany, Fernandinho and Gabriel Jesus were also on target as Man City thumped Watford 5-0.
Everton's pre-season preparations got off to a winning start against Gor Mahia, as Wayne Rooney marked his return with a superb strike.
Premier League champions Chelsea ended their campaign with a 5-1 win over Sunderland as John Terry said farewell to Stamford Bridge.
Arsene Wenger could be without Alexis Sanchez, Laurent Koscielny and Gabriel for the FA Cup final after Sunday's 3-1 win over Everton.
The French striker claims he will realise a childhood dream by playing for the Gunners and trying to emulate his country's greatest.
It was a nervy 45 minutes for Liverpool before Georginio Wijnaldum's breakthrough paved the way for a vital home win over Middlesbrough.
Tottenham now have more points this term than Leicester City did when they won the title last season after their 6-1 rout of the Foxes.
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