Gandhi was accompanied by former prime minister Manmohan Singh, Congress vice president Rahul Gandhi and the party's deputy leader in Rajya Sabha Anand Sharma during the meeting.
It was not known what transpired in the meeting.
Wickremesinghe met President Ram Nath Kovind and Prime Minister Narendra Modi earlier in the day.
The Sri Lankan prime minister, accompanied by his wife Maitree Wickremesinghe, is currently on a four-day visit to India.
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