The 28-year-old midfielder is out of contract at the end of the season with the Gunners unwilling to offer him a new deal.
He has since been heavily linked with a move away with the likes of Bayern Munich, Paris Saint-Germain, Real Madrid, Inter Milan and Juventus all keen on his services.
However, Italian media outlet Sports Mediaset claims Ramsey has agreed a move to Juventus when his contract expires over the summer after being offered a five-year deal be the Serie A giants.
The report also suggests that Sami Khedira, 31, could move in the opposite direction.
Ramsey has been with Arsenal for 11 years after making the move to the Emirates from Cardiff in 2008 and has made over 350 appearances in all competitions, scoring 61 goals along the way.