Landing T4 at 2:40pm, Departing T4s at 3:55pm EDIT >> MAD airport

What airport, please? You are starting in Rome and ending in Texas, but where do you change planes? Posting in Spain so maybe Madrid? But just guessing, so can’t answer the question without looking up the flights, which is a pain.

It might be close, especially if the flight is delayed leaving Rome or getting to the gate in Madrid and deplaning. Since Spain is the last country in the Schengen zone, you will need to pass through passport control. I’m not sure about the going through security again part.

Sasha,
Sorry I did leave out the fact that was MAD and OF COURSE you don't have to look up my flights, that was on me. I am just leaving this note because I read your "it's a pain" portion. This is just a tip in case it makes your life infinitesimally faster :) ...you can Google any flights just by entering the flight number. Thanks to you both.

Out of curiosity... if the passport check lane causes the miss connection, is Iberia/AA on the hook for the rebooking or would I be on my own. Thanks again.

Thank yo for clarifying.

Since both flights are on one ticket, it is on them to get you on another flight.

I think many people overstate the distances, efforts, and time T4 requires, but that is a bit tight.

This won’t require regular security, but there is an additional passport check before you can get to the ends of T4S for US departures. Sometimes that can result in a special screening, the dreaded SSSS.

This is what I wrote a few months ago for someone with a similar connection: ( the part about boarding the train in the right place is pretty important for being ahead of the train-load at passport control)

Terminal 4S isn't really a separate terminal, but a satellite concourse from T4.

-Landing from Bologna, you'll walk to the center of T4 (it's a long line of a building) and find the elevators/escalators down to the train. (Not-great signage to go down makes this the biggest challenge of the transfer). I've timed the walk from one end to the center at 10 minutes, without using the travelators. Obviously, it would be faster to use them.

-Take the train to T4S. Board the train in the middle and cross to the door on the other side for the best positioning upon exiting.

-Exiting the train will funnel you to passport control, one level up. There's no other way to go.

-After passport control, you'll go up a couple of escalators and get dumped into duty-free.

-Leaving duty-free your options are left or right—it's another long line of a building. All of the AA flights are out of one end (the south) and the Iberia flights to the US are from the North end. You will hit a fast and easy passport check/security question line before you get into the area from which all Iberia's US flights leave.

Extra thought… there’s a good chance you find find bin space for you bag, as you be among the last to board. Though the Iberia flights are better for this than on AA metal.