Wales will be missing Gethin Jenkins, Adam Jones, Richie Rees, Tom Shanklin and Andrew Bishop.
Andrew Bishop is out for six to eight weeks with a broken thumb.
Centre Andrew Bishop hacked the ball on for Dan Biggar, who also kicked 16 points, to get Ospreys' second try.
Before the break, the Ospreys had a chance of a breakaway try but Andrew Bishop knocked-on at the crucial moment.
The Ospreys rallied and Andrew Bishop launched himself through a gap in the Scarlets midfield to race into the 22.
Henson sent a wide ball to Andrew Bishop, who offloaded to Walker to go over in the corner with Hook converting.
The Ospreys hit back with a stylish score, created by Andrew Bishop who broke through the heart of the Ulster defence.
The Ospreys also have Andrew Bishop, Dan Biggar, Tom Prydie, Kristian Phillips and Ian Gough available to face Edinburgh at Murrayfield on Sunday.
There are a number of candidates, including Dafydd Lockyer (Pontypridd), Craig Mitchell (Neath), Andrew Bishop (Ospreys), Dafydd Hewitt (Cardiff), and Gavin Evans (Scarlets).
Saracens star Gavin Henson (calf) and Andrew Bishop (ankle) of the Ospreys are to miss Wales' opening Championship games against England and Scotland.
But Gatland does have more strength in depth at centre with experienced pair Andrew Bishop and Tom Shanklin joined by young Scarlet Jonathan Davies.
Ospreys centre Andrew Bishop, however, is likely to partner Roberts and win his ninth cap if Byrne's appeal fails and Hook switches from centre to full-back.
Spilled possession also blighted both sides' efforts, Jamie Roberts and Filise among the Blues' culprits while the Ospreys' Andrew Bishop was also guilty on that front.
Roberts will have a new partner in midfield at the Waikato Stadium after Andrew Bishop was ruled out of the second Test with a broken hand.
Behind the scrum, wing Mark Jones returns from a knee injury and there are call-ups for Scarlets full-back Morgan Stoddart and Ospreys centre Andrew Bishop, while James Hook starts at fly-half.
Biggar offloaded to Andrew Bishop, who broke away, cut inside Gordon D'Arcy and passed to Bowe, who raced over the line to touch down for his eighth try of this season's Magners League campaign.
Nikki Walker looked like he would add a second break-out try for the Ospreys, sent away after fine work by Andrew Bishop, only for his Scotland team-mate Sean Lamont to drag the wing down.
Centre Andrew Bishop (ankle ligaments) will miss the opening three games, Gavin Henson (calf) the first two, while teenage Scarlets wing George North will also miss the start of the Championship with a shoulder injury.
The Ospreys backs were starting to click, though, and Andrew Bishop did a fair impression of more lauded team-mate Gavin Henson - rested for this match along with skipper Ryan Jones - with a sublime pop-pass.
Parker was the beneficiary of his own good work at a breakdown in which he stole possession, the Wales centre finishing off a move continued by Ian Gough and Andrew Bishop to cross for the opening try.
But with Tom Shanklin (knee injury), Osprey Andrew Bishop (ankle) and Gavin Henson yet to have a run of fitness and form at either Saracens or new club Toulon, Wales' options at centre to partner Jamie Roberts were limited.
The Ospreys seized the initiative at the start of the second half with a Wallace offside allowing Biggar to split the posts again, and Munster had to scramble back to deny Andrew Bishop a try after a Mike Phillips break.
Henson, who won the last of his 31 Wales caps against Ireland in March 2009, wants to be considered for Welsh selection in a competitive-looking midfield that includes Jamie Roberts, Jonathan Davies and James Hook plus experienced injured duo Andrew Bishop and Tom Shanklin.
At a special service led by parish priest the Reverend Kathleen Rogers and the Bishop of Bangor the Rt Rev Andrew John, a pink candle was lit for April.
"No other region is as important to the future of the church, or could use an intervention, as much as Latin America, " said Andrew Chesnut, who holds the Bishop Walter Sullivan Chair in Catholic Studies at Virginia Commonwealth University and has written several books on Christianity in Latin America.
"Her growth in the United States has been extraordinary, " said Andrew Chesnut, author of "Devoted to Death: Santa Muerte, the Skeleton Saint" and the Bishop Walter F.
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