‘Gers took slight favouritism into their home tie after holding the Dutch Eredivisie leaders to a scoreless draw at Philips Stadion last week but things turned for the worse when Jeremain Lens struck inside 15 minutes.
The Dutchman was the recipient of a neat pass from Balazs Dzsudzsak who advanced into the area pass Richard Foster and delivered to an unmarked Lens to slot home from close range.
Walter Smith had reverted to his 5-4-1 formation but as his side trailed at the break, he introduced Steven Naismith to give the Glasgow giants a cutting edge up front.
The home side had calls for a penalty just after the hour-mark when Naismith’s header hit the bar with the rebound falling to Kyle Bartley who had his attempt saved by goalkeeper Andreas Isaksson but it appeared that Atiba Hutchinson had handled the ball on the way through.
The frustration grew at Ibrox as the minutes ticked over and in the end the home team could not pierce the PSV defence and were bundled out of the competition 1-0 on aggregate.
‘Gers boss Smith rued the missed penalty call but admitted his side lacked enough spark to get past Fred Rutten’s men.
"We were a bit disappointed with the way we started,” he said.
"I didn't feel we played well at all in the first half. We gave away a bad goal.
“We had to make an adjustment in the second half and we certainly applied more pressure (when Naismith came on for captain David Weir).
"You have got to look at the penalty situation.
"We had a couple of chances in the run-up to a clear handball on the line.
"I don't know how many officials we have got on the pitch but they all missed it.
"It would have changed the game. It would have reduced PSV to 10 men and given us a chance to apply more pressure.
"Just afterwards Madjid Bougherra was brought down as well, which I thought was a clear penalty."