WASHINGTON (AP) — Democrats set aside one battle over boosting the minimum wage but promptly descended into another internal fight Friday as the party haltingly tried moving its $1.9 trillion COVID-19 relief bill through the Senate.

Hours after asserting they'd reached a deal between party moderates and progressives over renewing emergency unemployment benefits, lawmakers said Sen. Joe Manchin, D-W.Va., now preferred a less generous Republican version of the payments.

Manchin is probably the chamber's most conservative Democrat, and a kingmaker in a 50-50 Senate that leaves his party without a...