AT&T Inc. is floating the possibility of offering DirecTV's National Football League Sunday Ticket programming to all its wireless phone customers, as the phone giant seeks to convince Wall Street of the strategic value of its $49 billion planned acquisition of the satellite TV firm.

In an analyst meeting in New York on Wednesday, AT&T management highlighted Sunday Ticket as a cornerstone of future product-bundle offerings it can market to its customers, according to analysts who attended the meeting. AT&T executives...