Will be transferring from USA arrival to EU connection at Schiphol next May. We are flying business/first. Originally, we had an hour and 25 minutes to arrive from US and make connection to Edinburgh. Delta just change schedules so we now only have 55 minutes to make connection.

Assuming flights are on time, should that be enough time? We are scheduled to arrive 1:25pm. Flight to Edinburgh leaves at 2:20pm. I understand that their may be a "fast-track line" that, among others, can be used by first/business passengers to expedite time through customs and immigration (and recheck bags). Is that correct? Easy to see - when we arrive - signs for that line when we arrive Schiphol immigration? Any hints suggestions on rechecking luggage?

Thanks!

You don't need to go through customs or immigration if you are going to Edinburgh, since the UK is not part of the Schengen zone.
Even if you had to go through immigration, which as I said you don't, if your flights are with the same airline or their partner, you bags are checked through and you don't reclaim them until your final destination where you leave through the green channel and never see a customs official.

55 minutes is clearly allowed by Delta, so if you miss your onward flight they have to rebook you on the next available flight.

55 minutes is clearly allowed by Delta, so if you miss your onward flight they have to rebook you on the next available flight.>

Yes but ask about this too. Nearly always the case.

we don't know from Philip if both flights were booked through Delta on one itinerary....

What airlines are you flying?

Go here to see how long the airport thinks you need:

https://www.schiphol.nl/en/transfers/

While it is true that if you have a protected connection the airline must put you on the next available flight, the key word is available. It does NOT mean the next flight to depart, it means the next one with space.

since the airline has made the alteration, if you find a connection you prefer they should allow you to change.

We has the same layover time this is May. When you get to the immigration queue, tell them you have a short connection and show them your ticket, they will let you use the short line.

When u get to the gate, they will wait for you as well. As we got on the plane, the captain informed everyone they were still waiting for another connection from Germany so we weren't even the last ones on.

They do not have to clear immigration.

It is very unusual these days for planes to be help for connecting passengers, unless there are a whole lot. You were lucky.

Like many other postings of this type, the OP did not include the crucial information: what kind of bookings were these?

A little investigation shows the OP's flights are probably these two:

DL164 MSP-AMS 1002-1325 on A330-300
DL9634=KL1285 AMS-EDI 1420-1455 B737 or EMB190

If these flights are indeed OP's flights,

Case 1: The OP booked MSP-EDI, and AMS was added into the itinerary by Delta. The explanation on "same" airline case mentioned above applies.

Case 2: The OP booked MSP-AMS then AMS-EDI separately. The Delta mentions it will through-check luggage even if the AMS-EDI was purchased separately from Delta or from KLM.

https://pro.delta.com/content/agency...-policy--.html under 1/26/2016 exception.

I have had US/AMS/non-Schengen connections. Sometimes both flights were on gate D and not only that, the second flight's gate was not even 50 meters from the gate I got off the Delta flight from the US.

Thanks for good information.

Yes, one ticket booked at the same time by Delta. greg is correct on our actual flights and Case 1 is correct.

That pro.delta site was good.