South African Christian Bezuidenhout leads the way on 13-under, two ahead of England’s Lee Westwood and Jonathan Thompson, with Rumford T9 six shots behind.
Rumford has missed nine cuts in 17 starts for the year and presently languishes outside the top 130 on the Race to Dubai.
Only those inside the top 110 retain full status for next season and Rumford has only six full field events remaining to move up the standings.
While his Friday round didn’t feature the fireworks of his seven birdie opening day he still got around in red figures thanks to four birdies against three bogeys.
He is one of 12 players at 7-under on a low scoring Silkeborg Golf Club layout which saw the cut fall at 2-under.
Rumford is one of seven Australians to qualify for the weekend, New Zealand’s Josh Geary dropping 29 places on the leaderboard with a 1-over second round to be T39, a shot ahead of Jason Scrivener who is 4-under and T37.
Matthew Millar and Nick Cullen are both 3-under and T48, Marcus Fraser the last of those to make the cut at 2-under and T55.
Adam Bland, Jason Norris, Lucas Herbert, Sam Brazel, Jack Munro, Andrew Dodt, Richard Green and Scott Hend all missed the weekend.
At the top of the standings second placed Lee Westwood, in contention for a 24th European Tour title, quickly doused speculation he might be eligible for a Ryder Cup Captain’s pick if he were to win.
Westwood will be among the assistant captains in Paris in four weeks’ time and says that won’t change regardless of this week’s outcome.
“I think it’ll take more than that for me to get a pick!” he said after his second round 65.
“Our team is strong with so many good young players that they don’t need me.
“It was good today. It’s a golf course that I really like. It’s not a case of pulling driver on every hole.
“Well you can if you want to but you need to be patient and strategic out there and I have done that well for the first two days and played really well.”
Leader Bezuidenhout is bot only chasing a maiden Tour victory but secure employment next year after a difficult rookie season.
“It’s been great to feel some confidence coming back into my game and hopefully I can keep going from here because I have some work to do to keep my European Tour card,” he said. “If I keep playing the way I have been for the last few days then I am hopeful that I can get the results.
“I have actually been playing well but either just missing cuts or not making good progress at the weekend to kick on and get better results but hopefully this good play will continue from here.”
SIGNATURE HOLES - 4TH AT MT WARREN PARK GC, QUEENSLAND:
Want video tips delivered straight to your inbox? Subscribe to iseekgolf.com newsletters.