Hi Flouton,
Prior to traveling did you confirm you had international roaming with T-Mobile? If so, you can find more information here: About cellular data roaming options for your iPhone and iPad
If not, and you're attempting to use a different eSIM while traveling you'll need to have an unlocked or SIM-free iPhone per the section below found in the same article.
- "When you turn off Cellular Data and Data Roaming, the cellular data icon shouldn't appear in the status bar. Learn more about cellular data settings and usage.
- Apple Watch Series 3 (GPS + Cellular) and Apple Watch Series 4 don't support data roaming. While using data roaming on your iPhone, Apple Watch Series 3 (GPS + Cellular) or Apple Watch Series 4 will only be able to use Wi-Fi or your iPhone cellular connection.
- To use bought or rented SIM cards, you need an iPad (Wi-Fi + Cellular), unlocked iPhone, or SIM-free iPhone."
You can also find helpful information in the same article you started from: Use eSIM while traveling internationally with your iPhone, specifically the bullet point that states:
- "If your iPhone is locked to a carrier, your iPhone operates the same as if it were using a physical SIM and can be used only by that carrier. You can add multiple eSIMs and plans through that carrier. To check if your iPhone is unlocked, go to Settings > General > About. If your iPhone is unlocked, "No SIM restrictions" appears next to Carrier Lock. Learn how to unlock iPhone for use with a different carrier."
If your device is unlocked or SIM-free, test the steps here: If you can't set up an eSIM on your iPhone. Should the issue remain, try contacting your carrier via chat or from the article here: Find wireless carriers and worldwide service providers that offer eSIM service
View additional details directly on their website here: International Plans | Traveling Abroad without Roaming Fees | T-Mobile
Best.