'It's not easy,' said England coach Fabio Capello.
'Obviously the most difficult match is against France. We lost to them at Wembley (in a friendly last year) and they're very good. "I have faith in my team and my players. They're all young, I think they can give a lot.'
In a mouth-watering Group B, the Netherlands, Denmark, Germany and Portugal were all drawn together, while co-hosts Poland will face Greece, Russia and the Czech Republic in Group A.
World and European champions Spain will tackle Italy in their opening group game in the Polish city of Gdansk on 10 June.
Vicente del Bosque's side overcame the Italians on their way to victory at Euro 2008 in Austria and Switzerland, with Cesc Fabregas netting the winning penalty in a quarter-final shoot-out following a 0-0 draw.
Del Bosque said he would love to see Spain tackle Germany -- who they beat in the 2008 final -- in the title match again.
'That is something that would be great and I hope it does happen -- it would be a fantastic final,' he told Cuatro television.
Group B appears to be the most finely balanced on paper.
Portugal and the Netherlands famously shared an ill-tempered last-16 match at the 2006 World Cup in Germany, which Portugal won 1-0 in a game that featured a record 16 yellow cards and four dismissals.
Denmark, champions in 1992, last crossed swords with Portugal in qualifying, with their 2-1 victory in Copenhagen in October obliging Cristiano Ronaldo and his team-mates to qualify through the play-offs.
The opening Group D clash between England and France at Donetsk's Donbass Arena on 11 June will probably go a long way towards determining which side finishes top of their pool.
The teams previously met in their opening group match at Euro 2004, when two late strikes from Zinedine Zidane gave France a 2-1 victory after Frank Lampard had headed England in front.
The tournament kicks off on 8 June, when Poland will take on 2004 champions Greece at the National Stadium in Warsaw, with the final taking place at Kiev's Olympic Stadium on 1 July.