After leaving Iceland following the 2018 World Cup in Russia, where they finished bottom of Group B despite a draw with Argentina, Hallgrimsson moved to Qatar with Al-Arabi.
He had three years in the Middle East before he was back in international football with Jamaica.
But a return to Europe beckoned when he ended the FAI’s 231-day wait to name a successor for Stephen Kenny in 2024.
At that time, Irish football was struggling as Kenny departed with just 11 wins in 40 matches, although he had introduced a number of young players in a time of transition.
There was some scepticism from the Irish media and pundits at Hallgrimsson’s surprise appointment, and four defeats and four wins his first Nations League campaign didn’t exactly shut out the noise.
Asgeirsson mentioned there was frustration in Iceland at the short-term criticism of Hallgrimsson, who mentioned “I think every Icelander follows him”.
“It’s been funny to watch the discussion in Ireland around him since he took that job, because people were quickly on his back and I think he was quite disrespected.
“People in Iceland, not just from the Westman Islands but the whole country, absolutely love him.
“We think really, really highly of him and expect him to succeed wherever he goes because of what he has done, and with what kind of a person and coach he is.”