The Argentina international – who is currently away at the Copa America with another Red Devils target Nicolas Otamendi – starred for the Rome giants last term as they secured a Champions League qualification spot.
A composed playmaker with a good range of passing, Biglia’s performances have not gone unnoticed, with United reportedly looking at him.
It’s claimed that an offer of around £18.6m is in the offing, with Louis van Gaal keen to bolster his central options.
Biglia, who will be 30 next January, could be a potential successor for Michael Carrick, with the South American able to play in a deep midfield role, similar to the soon-to-be 34-year-old.
The composed ace joined Lazio from Anderlecht in 2013 after impressing in Belgian football – he won the top division four times.