how long do pigeons stay in the same place ?

i was about an hour and a half away (by train) from my place yesterday, and saw a pigeon with string tightly wrapped around its leg. it was obviously hurt (it barely moved, and when it did, it had an obvious limp). i called a wildlife rescue hotline, but they didn't get back to me until this morning. i was out with my girlfriend and it's been really hot out, so we had no way of containing the pigeon (no sweater or piece of fabric to help grab the pigeon).

the wildlife hotline called me back and asked if i could go back and see if it's still there. i obviously want to do that, but i have work for the next three days and won't be able to make the trek down there. i will go when i can, but im not sure if the pigeon will still be there. it's in the city, and i saw it fly away once or twice but come back to the area i was sitting. will it still be in the area if i return ?