The Serie A champions would like the English coach to take charge of Inter's international relations, the Gazzetta dello Sport reported Tuesday.
Hodgson coached Inter from 1995-97 and briefly in 1999. He led the club to the 1997 UEFA Cup final, which Inter lost to Schalke on penalties.
He would oversee relations with FIFA and UEFA at Inter.
Inter's top goal this season is winning the Champions League, which is organized by UEFA.
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