"I consider that we solved all of the issues and I'm looking forward to new challenges," Dalic was quoted as saying in an HNS statement today after the meeting.
Suker added: "I am glad that we talked openly about things that could be better in the future and that we will go together toward new victories."
A formal signing of Dalic's contract is expected at the next meeting of HNS executive committee, the statement said.
Croatia's captain Luka Modric, the star midfielder who helped power the team to its first ever appearance in a World Cup final, had earlier urged Dalic to stay on to lead the team to Euro 2020.
Hundreds of thousands of people swarmed Zagreb's streets to welcome the players home on July 16.
In recent days Dalic's name had appeared among possible successors of Shin Tae-yong to lead the South Korean side.
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