what kind of glue/adhesive for attaching sneaker sole pieces back onto shoe?

[ztirffritz]

ShoeGoo

[btfc]

Shoe Goo or Barge Cement.

http://www.bargeadhesive.com/

[TheTominator]

Another vote for ShoeGoo.

[ka jowct]

John B. wrote:
ShoeGoo would be a good first try. I also use E6000 to bond lots of leather-nylon-vinyl type items together. Both should be available at a hardware or crafts store.

I've used Shoe Goo, with reasonable success.

[Buzz]

I'll see your E6000 and raise you 800....

Try E6800 UV stabilized adhesive. Just because you can.
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[C(-)ris]

We have a local shoe repair shop that uses some sort of industrial glue that you cannot buy off the shelf. It costs under $10 to have them fix it, I send all my work over there.

[lost in space]

Another vote for Barge cement. That's what shoe repairers use, though it could depend on the materials.

Clean with acetone. You want something that will dissolve a very thin layer off the materials so the surfaces are fresh. Water or alcohol don't do that.