Basically you can't! To have an EE eSIM you need to have an EE contract and to take out an EE contract you need to pass an UK credit check which would be difficult if you are not a UK resident.
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To phone EE CS: Dial Freephone +44 800 079 8586 - Option 1 for Mobile Phone & Mobile Broadband or Option 2 for Home Broadband & Home Phone
ISPs: 1999: Freeserve 48K Dial-Up => 2005: Wanadoo 1 Meg BB => 2007: Orange 2 Meg BB => 2008: Orange 8 Meg LLU => 2010: Orange 16 Meg LLU => 2011: Orange 20 Meg WBC => 2014: EE 20 Meg WBC => 2020: EE 40 Meg FTTC => 2022: EE 80 Meg FTTC (no landline number)
