Which preposition to use with fraternising

with Occurrences 13%

They are fraternising with the natives of the Southadopting their customs and even their faith.

on Occurrences 1%

This had taken place in the preceding month, and I naturally marvelled that the unpretending, simple man could be that victorious champion, but for the time being we were there plain citizens, and, American fashion, the Major-General and the Corporal shook hands and fraternised on equal terms.

Which preposition to use with  fraternising