Germany went down to a shock 2-0 defeat in Slovakia in their opening World Cup qualifier on Thursday, while Spain kicked off their bid to reach next year's finals with a comfortable 3-0 victory in Bulgaria.
Atletico Madrid's David Hancko burst untracked into the penalty box to fire Slovakia into the lead just before half-time against Germany in Bratislava.
David Strelec, who has just signed for Middlesbrough in the English Championship, then made it two with a brilliant strike high into the top corner 10 minutes into the second half.
The result gives Slovakia a dream start in Group A as they attempt to qualify for a first World Cup since 2010.
Germany, meanwhile, find themselves immediately under pressure even if this game was their hardest fixture in the group on paper.
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