The Fife player started well with a birdie at the first and picked up further shots at the 10th and 12th to lie joint second, two shots behind Argentinian Estanislao Goya.
"It's a nice start, it was very windy at times so it wasn't easy out there." said Murray, one of nine Scots involved in the scrap for 25 tour cards. "I can't really put my finger on where it's gone wrong this season, but hopefully I've turned a corner today."
But there was mixed fortunes for several of his countrymen. Garry Orr and Jamie McLeary shot 67 and 69 respectively to remain in the hunt, but Wallace Booth, Scott Drummond, Callum MacAulay, Alastair Forsyth, Raymond Russell and Andrew McArthur remain well off the qualifying pace.
Orr, who carded a 67, said: "The wind was swirling, so it made it quite difficult to choose the right club.
"The eagle on 10 was obviously the highlight. I also chipped in from 40 feet for birdie on the last, so that was a very nice way to finish."