I am not really an ODBC expert, but I doubt that you can get hold of the SVC (Net8) or LDA (SQL*Net) of the ODBC connection.
If you can, you can assign it to the ExternalSVC or ExternalLDA of your TOracleSession and share the connection.
If you can't, you need to create a secondary session with the same username/password@database as the ODBC connection.
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Marco Kalter
Allround Automations