Scarlets three-quarter Davies missed the defeats to Argentina and Samoa due to a groin injury, but is expected to take a full part in training ahead of the visit of the world champion All Blacks.
His regional colleague Rees is also set to return after the hooker was left out against Samoa due to a calf problem.
The pair's expected availability will be a major boost to returning head coach Warren Gatland, who takes back the reins from Rob Howley having been on British & Irish Lions duty over the last two weekends.
Wales' miserable autumn campaign has been severely hit by injury problems.
Adam Jones, Dan Lydiate, Alun Wyn Jones and Josh Turbull have already been ruled out of the series, and Richard Hibbard, Dan Biggar and Ian Evans all picked up injuries against Samoa.
Ospreys hooker Hibbard is unlikely to feature again this autumn after injuring the AC joint in his shoulder.
Fly-half Biggar suffered a similar problem but his injury is considered less severe and it is hoped that with intense treatment he may yet play a part over the remainder of the autumn campaign.
Lock Evans took a blow to the knee and his injury will be managed during the early part of the week in an effort to ensure he is available for Saturday.
Blues lock Lou Reed and uncapped Scarlets hooker Kirby Myhill have been called in to train with the squad as injury cover.
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.