QPR manager Harry Redknapp has opened talks with Richard Dunne about extending his stay at Loftus Road for a further year.
Since joining the club from Aston Villa last season, Dunne has returned to the type of form which persuaded Redknapp to make three separate attempts to sign him earlier in his career – once when he was at Portsmouth, twice when at Tottenham.
His current deal expires in June, but Redknapp is already making plans for the 2014/15 season and views Dunne, even though he will be 35 next September, as an integral part of those.
Martinez's primary concern is getting cover for another Irish international, Darron Gibson, who is recovering from a cruciate knee injury, but who may return to action quicker than initially expected.
"Darron is a very important player for us," said Martinez.
"So, we will try to see if we can identify one or two players that can help the group while he is out. We are hoping we can see Darron before the season ends."
If so, then Gibson will be available for the series of friendlies Ireland are planning to host in June.
Redmond, a winger who is eligible to play for Ireland, has already been contacted by the FAI's chief scout, Don Givens, to see if he would like to switch allegiance from England.