Over the last few days there had already been confirmation the Hammers were interested in the veteran midfielder.
This evening multiple reports suggest Ambrosini is already in London with his entourage and has begun intensive talks.
His contract is up at the end of next month and the midfielder turns 36 next week.
Ambro has been at Milan for 17 years, but is intrigued by the idea of ending his career in the Premier League.
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