If seen report to area ASAP and practice calming signals. Bring high quality treats/food and a SLIP leash.
Calming signals and basic info:
What NOT to do:
Don't make eye contact with the dog. Eye contact to animals can be a sign of dominance. We do not want them feeling threatened
Don't chase! Even the smallest/pitiful looking dogs can be FAST!
Don't expect your dog to behave in a normal way, even if you have known the dog for years. (Research "Flight mode in missing pets")
Don't move toward a dog if the dog shows signs of getting ready to bolt.
Don't kneel or squat.
Don't call the dog's name, even if it's your dog!
Don't grab for the dog, this can result in a bite or breaking any trust you may gain with the dog.
Don't put your hand over the dog's head.
What TO do:
If this is your dog, just talk in a normal tone of voice, or turn to the side and call the name of another dog in your household. Use commands/words that may be familiar to dog.
Watch the body language of the dog, and adjust your actions according to what makes the dog more comfortable.
Have plenty of high-value dog treats, such as hot dogs, fried chicken, cheeseburgers, or pizza.
If at all possible, try to lure the dog away from busy streets, to a yard or park or quiet side street, before you continue with calming signals.
Call a friend to bring treats to you if you don't have any.
Get closer to the dog by walking in a path 45 degrees to the side of the dog and gradually spiraling closer.
Sit on the ground with your legs stretched out in front of you.
Turn your body to the side so you are not facing the dog.
Pretend to eat the dog treats, and "accidentally" drop some.
Eventually, toss some treats toward the dog, but not at the dog.
Use a "magnet dog" if you own this dog or comfortable if stray seems dog friendly. Place a long line onto magnet dog and allow them to approach, interact with magnet dog (take a walk in hopes target dog follows) feed magnet dog treats.
Instead of looking at the dog, look at your phone, and use the front or back camera to monitor the dog’s behavior. As far as the dog is concerned, you are completely ignoring her.
Get a picture, in case this attempt fails and the dog runs off again. Silence your camera-phone, so the shutter noise doesn't scare the dog. (This step is important for stray cases)
Take your time, and let the dog come up to you when he is ready.
If possible, have an assistant keep people away, so you have room to work and no one interferes.
Let the dog eat out of your cupped hand.
Yawn several times.
If the dog is eating out of your hand, gently rub under the chin. Don't force the dog. Only pet the dog if he's comfortable.
Let him see the leash and smell it before you put it over his head.
Even if your close to leashing dog, don't undo all of the trust you've built by grabbing at him.