Edinburgh 10-25 Ospreys, Murrayfield Stadium
Edinburgh had their own problems to deal with as they lost Luke Crosbie and Magnus Bradbury to injuries and the pressure was evident as they were lagging 10-20 in the opening half and could not add a point after the break.
In a bizarre 13th minute, Justin Tipuric was sin-binned for a deliberate knockdown on Chris Dean's pass while Edinburgh also lost Grant Gilchrist to yellow-card for illegal tackle on Ollie Cracknell. It also resulted a penalty try for Edinburgh as they raced to a seven-point lead.
Ospreys levelled the scores in the 16th minute as Nicky Smith went over the line and Stephen Myler followed with the conversion before a long-range penalty kick by the fly-half put the visitors into the lead.
Kieran Williams played a pivotal role as he fed Matt Protheroe for his first try in the 31st minute and Myler kicked the conversion and a penalty to make the scoreline 7-20 before Edinburgh cut the lead to 10 points with Jaco van der Walt's penalty at the stroke of half-time.
As Richard Cockerill's side failed to score a point, Protheroe went on to complete his double in the 55th minute to power Ospreys to a 15 point victory after a dismal last season that saw them win just two games from 15 matches.
Edinburgh: Hoyland; Graham, Bennett, Dean, Farndale; Van der Walt, Shiel; Schoeman, McInally, Berghan, Toolis, Gilchrist, Bradbury, Crosbie, Haining.
Reserves: Cherry, Bhatti, Nel, Davidson, Watson, Nutton, Chamberlain, Taylor.
Ospreys: Evans; Protheroe, Watkin, Williams, Morgan; Myler, Webb; Smith, Parry, Botha, Beard, Wyn Jones, Cracknell, Tipuric, Morris.
Reserves: Lake, Jones, Fia, Davies, Lydiate, Morgan-Williams, Thomas, Thomas-Wheeler.