PSG host relegation battling Le Havre on Saturday
After travelling in a plane named after the late striker Eusebio, coach Fernando Santos and captain Cristiano Ronaldo were greeted by rapturous applause from the 5,000-strong crowd as they lifted the country's first major trophy aloft.
They were due to meet President Marcelo Rebelo de Sousa, who said he would honour them with an award for distinguished acts of public service.
The team were then expected to parade the trophy in the streets of Lisbon before addressing delirious supporters at the fanzone in the capital after the country erupted into noisy jubilation late on Sunday.
"Portugal had deserved this European champion title since 2004. Last night, Portugal was able to get back the title that we lost in 2004," he told Sport TV.