Jonathan Caldwell is tied 40th after the opening two rounds at the European Tour School is Spain but Michael Hoey's hopes have faded after a 79.
2007 Walker Cup player Caldwell shot a two-under-par 69 on the Hills Course on Saturday to improve to three under.
At the moment, Caldwell is only one shot outside the top 25 and ties spot which will secure a tour card for 2020.
Hoey is now sharing 149th spot in the 156-strong field - some 11 shots outside a qualifying spot.
The five-time European Tour winner's round included five bogeys and four double bogeys.
Gavin Moynihan is the leading Irishman on four under which puts him in a qualifying position in a share of 22nd place in the six-round marathon.
Moynihan fired a three-under-par 69 on the Hills Course on Saturday with Robin Dawson sharing 53rd place on two under and Niall Kearney tied for 79th on level par.
The top 70 and ties after Monday's fourth round will progress to the final two rounds.
England's Toby Tree and Denmark's Benjamin Poke lead the field on nine under par after two rounds.
The leaders are one stroke ahead of India's SSP Chawrasia and Finland's Sami Valimaki.