A dynamic telephone-call screening system detects indications of the character for incoming calls as a basis to determine acceptance. Calls that are identified and indicated to be undesirable, as from a facsimile machine, may be categorically screened on the basis of character. Calls identified to be from an undesired terminal also are recognized and screened. Indications of undesired character calls and undesired calling terminal are stored for reference testing. Upon receiving an undesired call, its character and source may be stored for future reference.