The TNA won 30 out of 38 seats in the elections, which was the first in the war-torn northern region since the councils were formed 25 years ago.
The Tamil party leaders earlier met Rajapaksa and expressed their unhappiness over the prospect of NPC councillors being sworn in by the northern governor.
Wigneswaran, who has been a magistrate and a judge of the District Court, High Court, Court of Appeal and Supreme Court of Sri Lanka, is expected to meet External Affairs Minister Salman Khurshid, who will arrive in Sri Lanka tomorrow on a two-day visit.
