Leggo says Chelsea are exploring the possibility of a £60m transfer bid for Barella.
Inter will be hopeful of mounting another title challenge next campaign, though face the prospect of losing at least one valuable player this summer for budgetary reasons.
Forwards Romelu Lukaku and Laturo Martinez are expected to be among those attracting attention and Barella is another player who could be on the move.
The Italian is 'in the sights' of Chelsea, with advances being made.
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