The two Sufi clerics have returned from Pakistan on Monday and will meet External Affairs Minister Sushma Swaraj along with their family members.
Swaraj had on Sunday said in a series of tweets that she spoke to one of the two clerics, who were later found after going missing in Pakistan.
"I just spoke to Syed Nazim Ali Nizami in Karachi. He told me that they are safe and will be back in Delhi on Monday," she had said in a tweet.
Pakistan had on Saturday also conveyed to India that the two missing clerics had been traced and that they had reached Karachi.
Syed Asif Nizami, the head priest (Sajjadanashin) of Hazrat Nizamuddin Aulia Dargah and his nephew Nazim Nizami had gone to Pakistan on March 8 as part of annual exchanges between Hazrat Nizamuddin and Garib Nawaz, who is venerated at the Data Darbar Sufi shrine in Lahore.