They were standing side-by-side with their shoulders 'touching'.
The temperature outside was 'touching' 38 degrees Celsius.
Their story was deeply/very 'touching'. [='moving']
(..) Because any one of them, if you asked them to, would take a fuckin' bat to your head. Okay? - That's called loyalty. - Yeah, that's very touching. And who is he handling? He pushes people away before they have a chance to leave him. It's a defence mechanism, all right? because of that. (..)1997 Good Will Hunting
(..) Something's in my room. What is it? Lt's like a, uh... It's a figure. It's, it's hoverin' over me. You are in a safe place, Will. It's t... It's touching me. Where is it touching you? Lt's touching me down there. And, uh, I'm nervous. You don't have to be nervous, Will. (..)1997 Good Will Hunting