run in

(chiefly in the passive) To arrest.

“The guys who robbed the bank last week have finally been run in.”

To use new machinery at less than full speed, preventing damage.

“I have to drive slowly for the first 1,000 miles to run the engine in.”

To start a new regime slowly.

To score (a try).

To insert (a word, etc.) without making a break or new paragraph.

To alter the position of matter to fill vacant space.

An encounter; a scrape or brush, especially one involving trouble or difficulty.

The end-phase of a competition.

“Yahoo Sport's Leicester City blogger Helen Nutter gets ready for the Premier League run-in knowing her side - incredibly - still have a great chance of being crowned champions”