But in the Capitol, Mr. McConnell and his Democratic counterpart, Senator Chuck Schumer of New York, were unable to come to terms on an agreement that would get the debate underway in earnest.

Mr. McConnell sought to open with a vote on legislation to punish so-called sanctuary cities, which refuse to cooperate with federal immigration officials. But Mr. Schumer objected, on the grounds that such a measure is unrelated to DACA. Without the Democratic leader’s consent, debate cannot begin until midnight Tuesday, or very early Wednesday morning. Republicans were left fuming in frustration.

“This is the debate they said they wanted,” Mr. McConnell, sounding irked, told reporters Tuesday. “I said we’d have an open and fair process. We’re trying to do that, and the sooner we get started, the better because we need to wrap up this week.”


Senator Chuck Schumer, the Democratic leader from New York, objected to beginning with a vote on…

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