The Catalan side are in desperate need of a forward after selling the 25-year-old for a world-record fee to the French club.
And according to The Sun they look likely to do business with PSG again over the transfer of former Manchester United star Di Maria.
The 29-year-old joined PSG in 2015 after a miserable single-season at Old Trafford under Louis van Gaal.
The Argentina international’s place in the starting line-up is in doubt, especially with PSG reportedly interested in signing Monaco’s Kylian Mbappe.
Barcelona manager Ernesto Valverde will want to add to a depleted strike force before the start of the season, especially as Luis Suarez is ruled out of contention for a month with a knee injury.
Suarez completed the Spanish Super Cup tie against Real Madrid in which they lost 5-1 on aggregate, but will now miss the start of Barca’s La Liga and Champions League campaigns.
The Uruguay international will also sit out his country's World Cup qualifiers against Argentina and Paraguay.
Gerard Pique is also an injury doubt for Sunday’s opening La Liga match against Real Betis with a thigh problem.
The Spain international criticised his side after the El Clasico defeat, saying Barca “are inferior to Real Madrid” for the first time in his Nou Camp career.
