Ichidan verb, Transitive verb
to talk (someone) down; to argue down; to silence; to put (someone) in their place; to corner in an argument; to get the better of
彼をやり込めるくらい、赤子の手を捻るより簡単だよ。Cornering him in an argument is easy―like taking candy from a baby.
Also written 遣り込める【やりこめる】