Van Persie has been linked with a return to his former club in recent months.
The Dutch striker left Arsenal to join Manchester United back in 2012, and helped fire the Red Devils to their 20th league crown in his first season there.
However his time at Old Trafford is threatening to turn sour amidst reports that he doesn't get on with boss David Moyes, and that he is still not happy with the fact that Sir Alex Ferguson has retired.
It has also been suggested that the Manchester United forward is unhappy with the training regime under Moyes, and believes that it is the cause of his injury problems this term.
That has prompted suggestions that he could be on his way back to Arsenal.
It was previously reported that Van Persie's agent had met with Wenger over a potential summer return.
However according to the Mirror, the Arsenal boss isn't interested in making the deal happen, and would rather look forward than backwards when trying to find a new striker at the end of the season.
According to the paper, Juventus remain interested in signing the 30-year-old, who has two years remaining on his contract at Old Trafford.
Arsenal's main transfer target for the summer is still likely to be Schalke's Julian Draxler.