TOPEKA, Kan. (AP) — Republican Rep. Kevin Yoder and his Democratic challenger are having a hard time keeping their political footing on immigration issues, complicating their efforts to win a competitive swing House district in Kansas that President Donald Trump narrowly lost.

Yoder is under pressure from the right despite an endorsement from Trump, and he backed away this week from supporting a Democratic proposal to ensure that immigrants fleeing domestic and gang violence can claim asylum.

Democrat Sharice Davids continues to battle GOP ads that say she supports abolishing ICE. She did say...