England ensured they finished top of Group D by beating the Czech Republic, but Scotland came up short in their bid to reach the knockout stages.
England progressed thanks to Raheem Sterling's early header in a 1-0 victory at Wembley.
Having kicked off Group D by beating World Cup semi-final foes Croatia and then been booed following the goalless draw with rivals Scotland, Gareth Southgate's already-qualified side put in a controlled display on Tuesday.
Sterling headed home fan favourite Jack Grealish's cross to seal a narrow win against the Czechs at Wembley, where England will return next Tuesday for a last-16 tie against France, Germany, Portugal or Hungary.
Scotland's hopes of winning through to the knockout stages of a major tournament for the first time ended with a sobering 3-1 defeat by Croatia at Hampden Park.
The Scots needed a victory in their final group fixture to reach the last 16 but despite a big effort fell short again.
Attacker Nikola Vlasic drove in the opener for Croatia in the 17th minute before Callum McGregor gave Steve Clarke's side encouragement with a leveller three minutes from the break, his first international goal.
However, just after the hour mark, captain Luka Modric restored Croatia's lead with a stunning strike from 20 yards before Ivan Perisic headed in a third in the 77th minute to seal victory and take the Croats through, with Scotland finishing bottom of the group with just one point.
Who knew?
Hammer time
Home time
Stat of the day
Quote of the day
In other news
Up next
Slovakia v Spain (Group E, Seville, 1700)
Sweden v Poland (Group E, St Petersburg, 1700)
Germany v Hungary (Group F, Munich, 2000)
Portugal v France (Group F, Budapest, 2000)