Goalkeeper Rui Patricio has completed his move to Roma, with Wolves set to replace him with Olympiakos' Jose Sa.
Jose Mourinho defended his recent track record in the Premier League after being officially unveiled as Roma head coach.
Roma are in advanced negotiations with Arsenal for the transfer of midfielder Granit Xhaka, while the Gunners have shown interest in Ruben Neves and Ben White.
Ole Gunnar Solskjaer hailed evergreen striker Edinson Cavani as well as goalkeeper David de Gea after Man Utd reached their first final of his tenure.
Former Roma boss Fabio Capello and outgoing manager Paulo Fonseca believe Jose Mourinho can bring success to the club when he takes over next season.
Man Utd produced a scintillating second-half fightback to put one foot in the Europa League final with a thrilling 6-2 semi-final first-leg win over Roma.