He expressed hope that his visit to the coastal state would contribute towards stronger ties between Portugal and India.
"I am very proud for visiting my father's land as a Prime Minister, in particular as the first Prime Minister of Indian origin. As you can understand, this visit has a strong emotional side and a personal motivation," Costa said.
He was speaking in response to the tribute given to him by Goan Civil Society in Panaji.
Costa, who is scheduled to visit his ancestral house in Margao town tomorrow, said, "My father went to Lisbon, (but) he never left Goa, because Goa never left him. From Konkani (language), we were only taught two words 'babush' and 'babulo'...These words my father used when he talked to me and my brother."
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According to him, India and Portugal have signed agreements in the areas such as science and technology, infrastructure, renewable energy, agriculture and defence.
"I hope my visit to Goa will contribute for more advanced and forward-looking partnership. This partnership can be based on strong emotional, cultural and personal ties. In my thinking, we can take advantage of the two economies," he added.
Earlier in the day, the Portugese PM was accorded a warm welcome by the state. However, the formal welcome programme was withdrawn at the Portugal government's request as the people there are mourning the death of former President Mario Soares, the founder of democracy in that country.
Costa held talks with Goa Chief Minister Laxmikant Parsekar on ties in tourism, science, oceanography, language and heritage.
Parsekar said Goa has age-old ties with the European nation. "Of course after liberation (from Portuguse rule in 1961), in the last 55 years we have been doing well, but Common Civil Code is gift to this state by Portugal," he said.