Describing the meeting as a 'courtesy call', Shinde told reporters, "For a long time I keep in touch with Mamata, who is like my younger sister."
To a question, the senior Congress leader, however, said that politics never came up as an agenda during the discussion.
"The discussion was confined at personal level only," he said.
The meeting between the two lasted for over half an hour.
Shinde said that he was in the city to attend the reception of the wedding of the son of the city-based businessman Sanjeev Goenka.