Freeze ribeye 25 minutes; slice across grain as thinly as possible.
Heat 1 tablespoon oil on a large griddle or skillet over medium-high. Cook onion 8 to 10 minutes until edges brown.
Push onion aside; add remaining oil and spread beef thinly on hottest area.
Season with salt and pepper. Chop and turn with two spatulas 3 to 4 minutes until no pink remains and beef reaches 145°F.
Mix in onions; divide into 4 roll-length piles.
Top each with 2 provolone slices. Cover 30 to 45 seconds until cheese melts around meat.
Open rolls over piles; scoop filling inside and close without flattening bread.