Police said there were a "lot of contradictions" in the statements given by the nun, witnesses and accused Bishop Franco Mulakkal of Jalandhar diocese and that a decision on further action would be taken after clearing all the doubts.
The notice to the Bishop, urging him to appear before the probe team, was likely to be issued this week itself, police said.
The officer, who did not wish to be named, rejected the charges levelled by protesters seeking justice for the nun that police was helping the accused Bishop.
"A free and fair probe is on in the case," he said.
Meanwhile, reports from Kottayam said police have initiated action against independent MLA P C George who had levelled derogatory charges against the victimised nun.
George, however, continued his allegations against the victim and her five fellow nuns, who staged a public protest in Kochi, seeking justice in the case.
Talking to reporters at his residence in Poonjar, George said he had certain doubts on the real victim in the case.
"Who is the real victim? The nun or the Bishop? he asked.
Responding to questions on the action initiated against him by the National Commission for Women for allegedly using abusive language against the nun, George hit out at the women's rights' body, asking whether they would chop off his nose.
He urged the protesting nuns to file a petition in the High Court instead of staging a public agitation in the case.
"If the nuns seek legal protection in the case, I will support them. If they are trying to humiliate the entire community of priests, that is unacceptable," George said.
Meanwhile, many political parties and leaders came out in support of the nun.
"Police have not completed the probe even 76 days after registering the case. It is a serious issue.
Investigation should be completed quickly and the culprits should be given punishment as prescribed in the law," he told reporters in Kochi.
He urged the government and police to end the move to 'weaken' the investigation in the case.
"Complete the probe in a time bound manner and convince the people of the facts about the case," he said.
Catholic reformation organisations, including the Kerala Catholic Church Reformation Movement, continued their indefinite protest in Kochi, seeking justice for the nun.
BJP and Sangh Parivar outfits in Kerala also expressed solidarity with the agitating nuns and church organisations seeking justice to the victimised nun.
The Bishop has been accused of rape and unnatural sex with the complainant multiple times between 2014 and 2016.
A special team probing the case has said that according to preliminary investigations, Bishop Franco abused his position and repeatedly raped the nun.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)