The moment Tidus shows himself off like that, Inigo does take a moment to take in the other's appearance. It's not like it was as easy to see back there in that alley, where it was darker - but out here in the light it's easy to see Tidus's state. Thankfully the other doesn't look like he's doing too bad, physically speaking.

But Inigo can imagine that he must have been pretty cold if he was with the blue team, so..

"I think I saw a place near here before that usually has a fire going. We could get you some stew there, and then sit near the fire so you can properly warm up." He doesn't quite tug on Tidus's hand yet to take him along though - he likes this plan, just thinking about the new, as if they're travellers who have been through a lot and just want to have a nice restful but fun day here.. but he's a little uncertain still, just a tad insecure about doing or saying the wrong thing. Not wanting to ruin the atmosphere, now they've both seem to have grasped onto something lighter. "Does that sound good to you?"