The Aspetar sports hospital in Qatar posted pictures on Twitter of Di Maria ahead of his medical.
The 27-year-old was given permission to fly to Qatar for talks with PSG officials after United agreed a 63million euro (£44.3million) fee with the French champions for the midfielder.
United signed Di Maria from Real Madrid for £59.7million last summer, but after an encouraging start his form dipped drastically and he only started one of the final 10 games of last season.
The former Benfica winger was left unsettled after an attempted burglary on his Cheshire home in February.
Since then, Di Maria and his family have been living in a city-centre apartment in Manchester owned by former United defender Phil Neville.
Di Maria said as recently as June that he wanted to stay at United, but it became apparent that he had his heart set on a move to the French capital in the last couple of weeks.
The Argentinian was due to report for duty during the second leg of United's pre-season tour of the United States on July 25, but failed to show.
After United's 2-0 defeat to PSG in Chicago on Thursday, Laurent Blanc said both clubs were close to striking a deal for the player.
Source : PA
Source: PA