Wales ended an 18-Test losing streak against Japan in July when Matt Sherratt was interim head coach.
Tandy has taken the reins after leaving his role as defence coach with Scotland and has added Sherratt and Wilson, who was a summer assistant, to his management team.
Former internationals Rhys Patchell, Duncan Jones and Dan Lydiate will also help with the coaching for a tough November schedule.
Wales are ranked 12th in the world and go up against sixth-placed Argentina, second-placed New Zealand and first-placed South Africa along with 13th-placed Japan.
Tandy will be expected to beat the Brave Blossoms with the Pumas appearing to be the most likely Rugby Championship scalp.
Wilson, who left his role as Harlequins boss for the international opportunity, wants to see progress from a new-look squad regardless of results.
“We have talked about that if you close your eyes, you’ll eventually see and be able to describe how Wales will play with the identity and game model that we want to create,” said the former Dragons, Scarlets and Cardiff coach.
“That takes a little bit of time and there are stepping stones to put in place to build that.
“We want to see positives steps from what we are working on in training. Can we build an identity and style of rugby that is attractive and wins?”
