The deal also includes radio, television and print advertising, and the opportunity for Advantage to work with the Colts on community events and sponsorships.
Terms of the contract, which begins in March, were not immediately available.
Advantage is owned by Ascension Health, Sisters of St. Francis Health Services Inc., Saint Joseph Regional Medical Center Inc. and Ancilla Health Systems, Inc.-all Catholic health care systems.
On Sept. 23, the Colts announced that Huntington Bank signed a multi-year deal to sponsor the west gate of the new stadium. Terms were not disclosed, but Colts officials had said previously the rights would sell for $1.4 million a year.