Jack Grealish, Tyrone Mings and Emi Martínez sealed their spots in the semi-finals of Euro 2020 and Copa América 2021 respectively.
Aston Villa duo Grealish and Mings were both unused substitutes as England convincingly saw off Ukraine 4-0 in their quarter-final tie in Rome on Saturday night.
Team-mate Martínez started for Argentina and completed 90 minutes as they brushed aside Ecuador 3-0 to reach the final four in South America on Sunday morning.
England will now face Denmark at Wembley on Wednesday (ko 8pm) for a place in the final of Euro 2020.
Argentina will come up against Colombia in Brasilia on Wednesday (ko 2am) for a place in the final of Copa América 2021, where goalkeeper Martínez could come up against Villa midfielder Douglas Luiz as tournament hosts Brazil face Peru in the other semi-final.
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England took an early lead against Ukraine thanks to Harry Kane’s fourth-minute opener.
Quickfire goals from Harry Maguire and Kane early in the second half put Gareth Southgate’s side firmly in control before Jordan Henderson wrapped up an emphatic win just after the hour mark.
It ensured the Three Lions secured their place in the semi-finals of the European Championship for the first time since 1996.
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Argentina broke the deadlock after 40 minutes against Ecuador thanks to Rodrigo de Paul.
Lautaro Martinez eased any nerves when he doubled the advantage in the 84th minute, before Lionel Messi, who had already claimed assists for both goals, got his name on the scoresheet with an injury-time free-kick, as Ecuador finished with 10 men.
Argentina, for whom Martínez kept a third successive clean sheet, will now face Colombia in the last four having not won the Copa América since 1993.