If a US resident travels from Mexico to other countries with other passport which hasn't shown to US immigration will US immigration be able to track the resident flight history?
put on hold as unclear what you're asking by Redd Herring, Ali Awan, Traveller, David Richerby, Rory Alsop 2 days ago
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Realistically nobody can answer that question. Most people because they don't know the answer, and the people that do know the answer because they will not be allowed to share it!
The level of information sharing between countries is something that is not made public. There are absolutely agreements between specific countries to share information - with probably the best known of these being the "Five Eyes" alliance, but even then what information is shared under such an agreement, and how each country uses it, is unknown.
It is certainly very possible that travelling from Mexico to a third country using a non-US passport could be done without the US knowing - but it would most likely depend on the country and passport involved.