If the team can overcome their counterparts from the central European nation, they will be just two wins from reaching the final in Berlin.
Until Wednesday evening, there had been uncertainty over who England’s next opponents would be.
However, the date with Slovakia was confirmed following Georgia’s shock win over Portugal in their final group game.
The Three Lions avoided a tougher opposition in the Netherlands after the Dutch slumped to a shock third place finish in their group, following a defeat at the hands of Ralf Rangnick’s revitalised Austria.
It puts England in a seemingly good position on the supposedly “easier” side of the knockout draw, as they will avoid the likes of France, Portugal, Spain and Germany on their way to the final – if they can make it there.
Who could England play in the quarter-finals?
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If England win their last-16 tie, they will then face the winners of Saturday’s knockout clash between Switzerland and Italy in Dusseldorf.
The quarter-final match will be played on Saturday 6 July at 5pm (UK time).
What about the semi-finals?
Assuming England win their last-16 and quarter-final matches, the national side will face either Romania, the Netherlands, Austria or Turkey on Wednesday 10 July at 8pm (UK time).
France or Germany are among the favourites to make it to the final on Sunday July 14 – although Spain and Portugal are also considered strong contenders.
However, there have already been so many twists in the tournament that an outsider – such as (so far) undefeated Slovenia – cannot be completely ruled out.
But some critics of England’s players and manager will not be expecting the side to make it that far.