The Portuguese, who began his second spell in charge at Stamford Bridge last month, arrived at the club's training complex around 9am.
Mourinho has recruited two players so far with Chelsea completing the signing of midfielder Marco van Ginkel from Vitesse Arnhem on Friday.
The Dutchman's arrival follows the signing of Bayer Leverkusen forward Andre Schurrle two weeks ago.
Chelsea's first match of their pre-season tour takes place on July 17 when they take on the Singha All-Stars in Bangkok.
They then take on a Malaysian XI in Kuala Lumpur (July 21) followed by a trip to Jakarta to play the Indonesia All-Stars (July 25).