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A decision on whether to put up a combined opposition candidate against Kovind would be taken at the national level, Vijayan said.
"He is political, a candidate of the BJP and so naturally his candidature will be faced politically," he added.
Asked about his personal view on Kovind, the CPI-M leader said, "None of us know him."
The CPI-M and other opposition parties will be meeting in Delhi on June 22 to discuss next steps on the presidential elections.