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Norm Bulaich graduated from Texas Christian University, and was drafted in the first round, 18th overall, by the Baltimore Colts in the 1970 draft.
In Bulaich's rookie season, he led the Colts backfield with 426 yards on 139 carries and three touchdowns. On their way to Super Bowl V, Bulaich gained 116 yards against the Cincinnati Bengals in the Divisional Playoff, as the Colts won 17-0.
In 1971 he earned his first and only Pro Bowl selection by gaining 741 yards on 152 carries with eight touchdowns. He broke the 100 yard mark twice that season, including a 198 yard game on opening day against the New York Jets.
Due to injury, Bulaich's 1972 season was limited to six games. He was traded to the Philadelphia Eagles after the season.
Bulaich would remain on the Philadelphia Eagles for two seasons starting in 1973, gaining a total of 588 yards on 156 carries with a single touchdown. He also caught 70 passes for 607 yards and three touchdowns.
In 1975, Bulaich joined the Miami Dolphins. Used out of the backfield primarily as a change of pace back, he gained 309 yards on 78 carries, good for third on the team.
1976 saw Bulaich finish second on the Dolphins with 540 yards on 122 carries, his best totals since his Pro Bowl season in 1971. This included a 107 yard effort on an opening day win against the Buffalo Bills. Unfortunately, the Dolphins finished 6-8 that year, the only time the team finished under .500 in the 1970's.
For the next three seasons, Bulaich would see his totals steadily decrease, gaining 416 yards in 1977, 196 in 1978, and just 37 in 1979 before retiring following the season.
Over 64 games covering five seasons for the Dolphins, Bulaich totalled 1,498 yards on 340 carries with 17 touchdowns, also catching 109 balls for 752 yards and six touchdowns.