The couple are staying at the Four Seasons hotel in Worli, South Mumbai.
The Wolverine star is in the city to attend the ongoing FICCI-Frames global film convention.
Jackman will share the stage with Shah Rukh Khan and Aishwarya Rai Bachchan at FICCI.
After the convention, Jackman and his wife will leave for Jaipur, where they will spend a day at the Raj Vilas.
This is the couple's first visit to India.