In most cases, yes. A term life policy follows you, not your address. A death on vacation in Italy is handled like a death at home.
A few things can complicate it.
What you said on the application. Insurers often ask about travel plans, and about living abroad. If you knew you were moving overseas and left it out, that can become a problem later. Answering honestly up front is what protects the claim. The same goes for other questions on the form, which we covered in your job and your rate.
The first two years. During that stretch the insurer can look back at your application before paying. A death abroad in that period tends to get a closer review. It doesn’t mean the claim is denied.
The paperwork. Your family will need a death certificate from that country, sometimes translated and certified. The nearest US embassy or consulate can help them get the right documents. It can take longer than a claim at home.
Exclusions. Some policies exclude things like acts of war, or specific risky activities. They’re uncommon, and they’re written in the policy, so it’s worth a read before a long trip.
Moving abroad for good is a different question from visiting. A policy you already own usually stays in force as long as the premiums are paid, but tell your insurer where you’re going.
If you bought the policy here and you’re wondering how yours reads, start with the exclusions page. For how these policies are usually built, see our page on Denver term policies.