pull alongside (someone or something)
To move directly beside or along someone or something while in motion. The cop pulled alongside our car on the highway and signaled for us to pull over. I could feel someone pulling close alongside me as I walked.
pull (up) alongside (of someone or something)
to move to a point beside someone or something. (Of is usually retained before pronouns.) The car pulled up alongside the truck and honked and the people inside waved and waved. Please pull alongside the curb.