Speaking in parliament, United National Party's (UNP) senior leader John Amaratunga expressed vehement opposition to Singh visiting the island's war-torn north.
He said Singh's visit to Jaffna was unacceptable as he had earlier declined to attend the CHOGM summit last month.
C V Wigneswaran, newly-elected northern chief minister had extended an invitation to Singh to visit Jaffna.
"This should not be allowed to happen. How could the Indian PM be allowed to visit the country without an invitation from President Mahinda Rajapaksa?" Amaratunga asked.
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Singh had decided against attending the CHOGM summit in view of the stiff opposition by parties in Tamil Nadu as well as a section in Congress party.
Political parties in Tamil Nadu and several other outfits had opposed India's participation at any level in the CHOGM summit alleging that the Sri Lankan government had committed gross violation of human rights during the last phase of the civil war in 2009 and had no plans to devolve powers to the minority ethnic Tamils.