After receptions with King Felipe VI and prime minister Pedro Sanchez, La Roja were paraded through the capital city on an open-top bus.
Substitute Mikel Oyarzabal became the 10th Spain player to score at Euro 2024 when he set up and finished in the 86th minute to secure a 2-1 win over England and a record fourth title. It was their 15th goal, the most by any team at a Euros.
"It's hard to put into words how we're all feeling right now... We did well to get back into the game and struggled to build on that," added Kane.
Yamal, 17, and Williams, 22 -- both celebrating birthdays in the days ahead of the final -- have given Spain an exciting cutting edge in attack they have lacked for much of the last decade, pulling the team to a record fourth European Championship triumph.
"Right now, we don't realise what we've done. We'll return to Spain tomorrow and will be able to live this thing with the fans and return love and the warmth they've given us."
Spain won all seven games in Germany en route to lifting the trophy, but England gave them a hard fight in the final, losing 2-1 to a Mikel Oyarzabal goal four minutes from time.
Southgate gave his penultimate press conference of the tournament in the bowels of Berlin's Olympiastadion just over 24 hours before his team will run out seeking to finally win another major trophy to go alongside the 1966 World Cup.
"I've told my mum that if we win I don't want any presents, I just want to celebrate in Madrid with my mates," Lamine, as he prefers to be called, said in an interview with Spain's Marca outlet on Saturday.
It's not yet midday but there is a real buzz inside the local bar, El Cordobes, which is still reeling with excitement after Yamal, who used to come in with his dad, clutching a football, shot home the sublime goal against France that helped propel Spain to Sunday's Euro 2024 final.
Almost 20 years have passed between his first Portugal goal against Greece at Euro 2004 and his most recent versus Lichtenstein in November 2023 -- with the nation's 2016 Euros triumph the pinnacle of his international career.
Julian Nagelsmann has signed a contract extension with the German men's national team, the domestic football association said Friday, putting to bed speculation of a quick return to club football.
The draw for Euro 2024 takes place in the port city of Hamburg on Saturday when France, England and the other leading contenders will learn the path to potential continental glory that awaits them next summer.