PROFFER comes from the same roots as the word offer. They mean almost the same barring a few subtle differences. The former is more formal and used for specific things that are almost always physical in nature whereas offer is more widely used and used for abstract things as well. So using proffer is not advisable till a very formal situation or a legal usage demands it.
Meaning of Proffer:
1. to put before a person for acceptance
Sentence Examples for Proffer:
1. They will be reluctant to proffer lots more money until they are sure it will be handed out to the right people.
2. Where an petitioner fails to proffer the testimony, he or she cannot claim on appeal that the trial court erred by excluding it