To run up to (someone or something); to dash over toward and approach quickly on foot.
子どもが転ぶと、母親がすぐに走り寄った。
When the child fell, the mother immediately ran over.
駅で友達を見つけて、彼は笑顔で走り寄ってきた。
He spotted his friend at the station and ran up smiling.
猫が物音に驚き、庭に走り寄った。
The cat was startled by a sound and ran into the yard.