Making a statement, External Affairs Minister Sushma Swaraj said the issue of fishermen should not be dealt with on technical grounds but on humanitarian grounds.
"Till we move towards deep sea fishing, the issue should not be dealt with on technical grounds but humanitarian grounds. An interim arrangement is being put in place between fishermen of both the countries to resolve the issue," she said.
Wickremesinghe had recently said that law allows shooting of an "intruder", while referring to Indian fishermen.
Swaraj said she voiced objections when she met Wickremesinghe, saying the case of Italian marines cannot be compared with that of Tamil fishermen.
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The Italian marines are not allowing judicial process to start and have raised the jurisdiction issue even before start of judicial proceedings, she said.
On the contrary, in the case of two Indian fishermen released recently, the judicial process had been completed and they were granted pardon by the President through an executive order, she said.
"When I raised the issue with him, Wickremesinghe nodded in agreement and said he was not aware of the facts," she said.
She said a meeting was slated for March 11, which has now been put off till March 15, after the visit of Prime Minister Narendra Modi's visit to Sri Lanka.