The Los Blancos star and his Croatia side stand in the way of England and their hopes of reaching their first World Cup final since 1966.
Subasic made three saves in the round-of-16 shootout against Denmark, and stopped the first against Russian Federation for a total of four to match Harald Schumacher of West Germany and Sergio Goygochea of Argentina for the most in a single World Cup.
World Cup semi-finals England - Croatia will be held on July 11 in Moscow. "We know we have some unbelievable players and a great manager and everyone is clear on what we do".
"What they did was impressive but we want to keep writing our own history and enjoy what we are doing which is very positive", he added.
"I'm not thinking about it, only about my national team succeeding", he said.
"I wouldn't say there are any glaring weaknesses (in England's team) since they are in the semi-finals, that says it all".
In a more encouraging sign, this time around, they've also won their first penalty shootout at world football's showpiece tournament.
Keeping true to the style, the current team is built around two of the world's best midfielders, Rakitic and Modric. "You'll see it on the field".
Not many expected Spain to fail to make the final four of the World Cup and even fewer anticipated Brazil crashing out at the quarter-final stage but Gary Neville gets paid the big bucks for a reason.
Asked if England will be treated as just another game, the gregarious former Tottenham Hotspur defender, who has 102 caps, said: "No". When Ivan Rakitic's penalty sealed Croatia's spot in the semifinals, the coach broke down into tears. Harry Maguire and Dele Alli were the goal scorers.
"They're fantastic players ... they're a fantastic team", Henderson said the pre-match press conference on Tuesday.
The toll both games have taken on the Croatia squad was evident at the end of extra time against the hosts with several players sprawled out on the turf at full-time.
Vrsaljko who was called up to the senior team has made 39 appearances for the Balkans and played all five games in Russian Federation. "I've played against Modric and he's world class ... one of the best there is".
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They beat Sweden 2-0 on Saturday, before Croatia advanced at the expense of hosts Russian Federation on penalties. It says: "We need this for all those supporting England , as the next day will not be pleasant for all fans".