Should this question be referring to the United States before slavery was abolished in 1865, here are a few slave holding States that bordered on States were slavery was illegal:
Slave State Maryland:
borders with non slave States of: Pennsylvania and West Virginia;
Slave State of Delaware bordering non slave States of New Jersey and Pennsylvania.
This is only a short list of slave States bordering non slave States at the time of the US Civil War.
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The US shares borders with Canada and Mexico.
african slave us army soldiers
Missouri/Alabama
border patrol or coast guard
The slave codes