The duo had extensively shot the Abhishek Kapoor-directorial in Kashmir.
Aditya, best known for his roles in films like "Aashiqui 2" and "Yeh Jawaani Hai Deewani", bought the gift for the "Dhoom 3" actress as a token of gratitude and they had also discussed about this when they were shooting together.
"Aditya personally selected the pashmina shawl that he gifted to Katrina," the film's spokesperson said in a statement.
The shawl is said to be 100 percent pure Kashmiri pashmina and is hand-embroidered.
"Fitoor", which also stars Tabu, will release on February 12.