“We are very happy with the latest offer we have received,” director general Ariedo Braida told Portuguese newspaper Record.

“We are continuing to work in order to reach an agreement that will suit both parties.

“The paperwork could be completed Tuesday or Wednesday, but most certainly some time next week.”

It is the end of a disappointing Rossoneri spell for Argentine Grimi, who never quite made his mark at San Siro.

The 23-year-old arrived from Racing Avellaneda for 2m Euros in January 2007, but made just three appearances for the club.

He spent the rest of his time out on loan at Siena and, for the past six months, Sporting Lisbon.

The Portuguese outfit are keen to make the move permanent for the left-back who can also play in central defence.