Dungy and Harrison are two of the 15 finalists for this year's Hall of Fame class.
The 46-person Hall of Fame panel will vote for the 2014 class on Feb. 1.
Dungy, the winningest coach in Colts history, won five division titles, reached the AFC Championship Game twice and won a Super Bowl while coaching the team from 2002-08.
Harrison was second in league history in receptions when he retired in 2008. He had eight straight 1,000-yard receiving seasons. He ended his career with 1,102 receptions for 14,580 yards and 128 touchdowns.
The Colts have 12 individuals in the Hall of Fame.
Here's a list of the 13 of other finalists for the Hall of Fame: Kicker Morten Andersen, running back Jerome Bettis, linebacker Derrick Brooks, receiver Tim Brown, owner Edward DeBartolo, Jr., linebacker Kevin Greene, punter Ray Guy, defensive end Charles Haley, defensive end Claude Humphrey, offensive tackle Walter Jones, safety John Lynch, receiver Andre Reed, guard Will Shields, defensive end Michael Strahan and cornerback Aeneas Williams.