Ash vs paul?

[okjoek]

I've been missing a LOT of the sinnoh episodes and I never really found out what happened to their rivalry,

the only epispodes I've seen him in are.

the first episode

the oreburgh gym

some tag team competition

him battling cynthias garchomp

and him entering the snowpoint gym just after ash got his badge.

Do they ever have a final showdown or something? an epispode #?

 

[Silver25]

The episode that just aired in Japan ended the "Ash vs Paul" arc. If you are ok with being spoiled, look the three episodes at Serebii.net

 

[TheFuturePokemon]

Do they ever have a final showdown or something? an epispode #?

I'm guessing its gonna be in the sinnoh league.

 

[>Feelings<]

You probably don't want to be spoiled without seeing him in all other episodes, but the latest Japanese episode is about Ash and Paul's final battle in the Sinnoh League.
Serebii.net has guide for all of those three episodes... Yes... Three episode long battle.