What are good exercieses for a pulled groin muscle?

Time. First must heal the muscle, then stretch the muscles in the area, then finally can strengthen muscles. Squats are good for strengthening.
Core exercises. Stretching exercises for a pulled groin in the early stage of injury are helpful to prevent secondary tightness. Eventual exercises should focus on lower abdominal strengthening since a significant amount of groin injuries are related to an imbalance between the groin muscles and lower abdominal muscles. A physical therapist could teach you the specific program.