Run somebody/something close
Definition 1 of 1
Pro Tip 1/3Competition Context
Used to describe a close competition where the outcome was nearly a win. 
She ran the incumbent close in the mayoral race.
Pro Tip 2/3Metaphorical Use
Can be used metaphorically to describe any close match or comparison, not just in sports. 
His homemade cake ran the bakery one close!
Pro Tip 3/3Intensity Implied
Suggests a high level of effort or performance to nearly match someone or something. 
The rookie ran the veteran close in last night's game.