The two clubs have been in talks over the 29-year-old – who has reportedly agreed personal terms with Man United – for some time now, but negotiations have proven difficult with the Serie A side holding out for a fee of around €50m.
Perisic had reportedly refused to entertain any new deal proposed by Inter in order to force through a move to Old Trafford ahead of pre-season.
But according to Italian outlet Gazzetta Dello Sport, the Croat has now entered talks with the Italians over improved terms.
Inter need to raise £26m by July 1 in order to meet Financial Fair Play regulations, but would rather sell Ever Banega for €9m and see other players leave over the summer instead of simply accepting the amount being offered by Man United that would immediately satisfy the sum being demanded of them.
Indeed, when it comes to paying off a certain amount, you only need to prove that the sum can be reached with prospective figures, and with Inter clearly determined to hold on to one of their best players it looks as if that will be the strategy they pursue.