A delegation headed by All India Congress Committee secretary A Chellakumar, Goa Pradesh Congress Committee president Girish Chodankar, Congress Legislature Party chief Chandrakant Kavlekar and other leaders met Sinha in the afternoon at Raj Bhavan here.
Emerging from the meeting, Chellakumar said there has been a "total collapse" of government in the state, where a BJP-led coalition is in power.
In such a situation, the governor is expected to intervene and restore normalcy in functioning of the state administration, he said.
Chellakumar said the CM has been frequently flying to the USA for treatment, but the exact nature of his illness has not been disclosed to the public by the state government.
Two other ministers Pandurang Madkaikar and Francis DSouza are admitted in hospitals with "serious" ailments, the Congress leader said.
While D'Souza is undergoing treatment in the US, Madkaikar has been admitted to a private hospital in Mumbai.
Chodankar said the Congress had earlier submitted two memorandums on April 16, 2018 and May 9, 2018 asking the governor to intervene, but she did not take any step.
The state Congress chief demanded that Parrikar provide a fitness certificate before resuming work.
Chodankar said there is "complete collapse" of the administration due to frequent absence of the chief minister from the state.
"When the chief minister was away (in the US), he did not find it necessary to even hand over acting charge of the ministries held by him to any of his cabinet colleagues.
"This act is not only unprecedented but also autocratic and undemocratic which has led to complete collapse of the state's administration," the GPCC chief said.
The Congress leader said when Parrikar was undergoing treatment in New York, officers were deputed to take files there to obtain his signatures.
In the prevailing circumstance, the governor, as the repository of the executive powers of the state, should intervene and restore normalcy in the administration, said Chodankar.
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