Before heading to Mumbai, he called a meeting of his government's senior ministers at his private residence in Dona Paula near here and formed a cabinet advisory committee to take administrative decisions in his absence.
Parrikar also met the state chief secretary and the director general of police, before leaving Goa.
"Today, the chief minister is travelling to Mumbai for further medical checkup and based on the doctor's advice may travel overseas for further treatment," the chief minister's office said in a statement issued here.
The chief minister was admitted to Lilavati Hospital on February 15 where he received treatment for a pancreatic ailment. He was discharged on February 22, and on the same day attended a session of the Goa Legislative Assembly, where he presented the budget and made a brief speech.
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On February 25, the chief minister was admitted to Goa Medical College and Hospital after he suffered mild dehydration. He was discharged from the hospital on March 1.
Before leaving Goa, Parrikar met senior ministers -- Francis D'Souza of the BJP, Vijai Sardesai of the Goa Forward Party (GFP), Manohar Ajgaonkar of the Maharashtrawadi Gomantak Party (MGP), and, Rohan Khaunte and Govind Gawade (both Independents).
"The chief minister has formed a cabinet advisory committee which will guide the state administration on various matters, including financial issues," Sardesai told reporters outside Parrikar's residence.
The MGP and the GFP are allies of the BJP-led Goa government.
Parrikar would continue as the chief minister and the committee will be functioning in his absence from the state, Sardesai said.
Dhavalikar could not attend the meeting with the chief minister today as he is in New Delhi, leading an all-party delegation on the issue of crisis in the mining industry.
Before leaving the state, Parrikar held a meeting with chief secretary Dharmendra Sharma and personal secretary to chief minister P Krishnamurthy and gave instructions to both the officers on urgent and important matters, the CMO confirmed.