The governor has declined because of a scheduling conflict, a spokesperson for the Syrian American Council confirmed.
Pence’s comments came in the wake of an Indianapolis archbishop's announcement that Catholic Charities brought in a Syrian family to the Hoosier State.
The rally attracted more than 100 participants with candles and signs that read “Refugees Welcome.”
The information comes after Gov. Mike Pence and more than two dozen other governors suspended the resettlement of Syrian refugees in their states.
A group of 27 governors wants the federal government to suspend the program until it completes an "exhaustive review of all security measures."
Three Syrian families have come to Indiana. A total of 2,000 are expected to arrive in the U.S. this fiscal year.
Sen. Joe Donnelly says the U.S. should not send troops to Syria, but he says providing limited weapons to opposition fighters should be considered an option.