Lazio made a strong effort to secure the signing of Greenwood, but he ultimately decided to join Olympique Marseille instead of staying at Manchester United.
Greenwood has kicked off his Ligue 1 career in superb fashion and Fabiani revisited Lazio's attempts to sign him.
He said, "We had offered £24m for Greenwood, perhaps Lazio wasn't in his plans.
"I always say that the best deals are those that don't happen."