"We will support the demand (by the slain leader's wife K K Rema), we will not hesitate to ask for a investigation by the CBI into the conspiracy angle of the murder and write to the Centre again", he told reporters here.
He was responding to a question on Rema recently writing a letter to the Centre pressing for a CBI probe into the killing of her husband in 2012.
A court had in 2014 sentenced 11 persons, three of them local CPI-M functionaries, to life imprisonment.
However, Rema had alleged that bigwigs of CPI-M were involved in the conspiracy to murder Chandrasekheran.
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Rema had recently approached the Union Personnel Ministry requesting to take a re-look into the CBI's stance that it cannot investigate the case.
(Reopens MES6)
Earlier, Chandy met Janata Dal (United) state president M P Veerendra Kumar at the latter's residence here.