Davor Suker's penalty edged Croatia past Romania in the last 16 before a thumping 3-0 victory over Germany in the quarter-finals - with Suker again on the scoresheet - saw them book a meeting with hosts France in the semis.
England will bid to reach their first World Cup final in more than half a century when they meet Croatia in the last four on Wednesday.
"Luckily I've been playing alongside him for the past 10 years and each game since he got the armband he's leading us with a great deal of power, strength and self-confidence".
"We have enough time to rest and prepare well", said Modric.
It is only the second time that Croatia have reached the World Cup semi-finals.
"It's an adventure", said McNulty. "We are now on a good way and have great support in Croatia and I believe in our team we can do something similar".
"To be able to manage the team to this point, having played in a semi-final as well, is really, really special".
The overachieving hosts, the lowest ranked team in the tournament at No. 70, were trying to make it to the World Cup semifinals for the first time since the Soviet Union finished fourth at the 1966 tournament in England. The Croats won 4-3 on penalties. We were unlucky at previous tournaments but now we are collecting those debts this year, ' said Modric after Saturday's win over Russian Federation in Sochi. "We know our quality and we believe in ourselves and we are on the right track at the moment".
Harry Kane looked tired at the end of Saturday's game, and Jordan Henderson was taken off as a precaution.
The 2002 and 2006 tournaments were particularly frustrating because a win in the final group games would have advanced Croatia to the knockout round. Having dragged Russian Federation back into the tie, with the scores level in the shooutout he dragged his effort wide, allowing Ivan Rakitic to slot home three kicks later and give Croatia the victory.
Russian Federation forward Artyom Dzyuba talked often of "the fairy tale", and the fans responded with a giant banner for the Spain game urging them to "make the fairy tale come true".
"I think Raheem Sterling is an important player because he is fast and unsafe alongside Harry Kane", Dalic said in a press conference Sunday.
"No other team in the world has fans like we do".
Henry did everything he could to help Belgium bring down France, but ultimately the team with more goals than any in the tournament was unable to score in the semifinals.
Ahead of their biggest game in a generation, Southgate has told his players the next few days can change their lives for ever.