Paris Saint-Germain have discussed a potential move for Jese with Real Madrid during the two clubs' respective pre-season tours of the United States.
Goal can confirm a Cadena SER report on Thursday revealing the French champions' approach for the 23-year-old forward, who scored five goals in La Liga last season.
Madrid are open to the idea of Jese leaving the club this season on a one-year loan deal or with a buy-back clause in order to gain more first-team experience.
That does not, however, necessarily open the door to a move to PSG, who would rather sign the Spaniard outright after making him their new priority in terms of bringing players to Parc des Princes.
New PSG coach Unai Emery tried to bring Jese to Sevilla during his time in Andalusia and is now searching for depth in attack behind first-choice striker Edinson Cavani.
Emery is willing to be patient and consider promoting promising youngsters Jonathan Ikone and Jean-Kevin Augustine to more prominent roles, however, with the club having ended their interest in Inter star Mauro Icardi.
Jese's agent, Gines Carvaja, has held talks with Madrid transfer chief Jose Angel Sanchez over his client's future amid interest from English clubs but PSG are able to offer the most attractive financial package.
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