SunSport can reveal the Italians have put together a mega-money package to land the Arsenal star on a free transfer.
Ramsey is set to run his Gunners contract down instead of being part of a January deal for Roma striker Patrik Schick.
Roma sources are resigned to Ramsey, 27, picking Juve over them.
Bayern Munich are also monitoring the situation.
Arsenal withdrew a bumper new four-year contract for the Wales midfielder in September, alerting Europe’s top clubs.
Aaron Ramsey watched by Bayern Munich as Wales suffer Denmark loss
BAYERN MUNICH ran the rule over transfer target Aaron Ramsey during Wales' loss to Denmark.
The German Bundesliga giants believe they are closing in on the signing of the Arsenal midfielder on a free transfer next summer.
And SunSport understands Bayern sent scouts to watch 27-year-old Rambo in the crunch Nations League clash in Cardiff.
Ramsey cannot sign a pre-contract agreement with a European club until January.
But he revealed last month he planned to remain at Arsenal until his contract expires at the end of the season after the Gunners withdrew the offer of a new long-term deal.
READ MORE ABOUT RAMSEY'S GERMANY INTEREST HERE
Juventus have lined up a deal worth the equivalent of £200,000 a week.
The total value of the Bosman free transfer will top £40m before tax, as they are prepared to offer Ramsey a four-year deal.
He can agree a contract with them in January when he gets within six months of his Arsenal deal ending.
And moving on a free means he can command a whopping wage, which Juve are willing to provide.
Ramsey has not started a Premier League game since September.
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