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The Chilean reported back for training on Tuesday after his return from holiday was delayed due to a bout of flu.
Pictures from Sanchez’s session at Arsenal’s London Colney training base showed last season’s top scorer as all smiles, however he was given news he didn’t want to hear.
The Times report that Wenger held a meeting with Sanchez in which they discusses the Chile international’s future.
With the 28-year-old having just 12 months remaining on his contract there has been much speculation that he will leave this summer.
However Wenger has told Sanchez that he will not sanction his sale to a Premier League rival, which rules out a move to Chelsea or Manchester City.
Sanchez is understood to have made the latter of those interested clubs his favoured choice with the opportunity of linking up with Pep Guardiola the lure.
The report though suggests that Wenger hasn’t totally ruled out selling Sanchez, who could yet command a fee in the region of £50m, but only to a club abroad.
Bayern Munich and Paris St Germain have been linked, although the former has baulked at his wage demands and the latter is focused on signing Neymar.
It could result in Sanchez seeing out his contract at Arsenal.