The Montenegro international has been strongly linked with a move away from Roma this summer after five years in the Italian capital.
Alessandro Lucci says contact has been made with the Premier League champions over the 27 year old.
"The meeting with the leaders of Manchester United was yesterday," Lucci told lasignoraingiallorosso.it.
"It has only been a chat, in which no offers have been made nor was there an agreement sorted.
"The English club, however, really like Vucinic, but to see him with the shirt of the Red Devils, there is still work to do."