WASHINGTON — Secretary of State Mike Pompeo promised on Wednesday to impose additional sanctions on Venezuela, predicted that the United States would again fund schools for Palestinian refugees in Jordan and said that President Trump viewed Russia’s return to the Group of 7 as inevitable.

Mr. Pompeo’s remarks came during a hearing in the Senate that was intended to discuss his department’s budget. But there was little said about the Trump administration’s plans to slash the State Department’s funding, and Mr. Pompeo did not try to defend proposals to cut spending on such things as the battle against H.I.V. and AIDS in Africa.

“It did happen before my time,” Mr. Pompeo said of the administration’s budget request for next year. “The president has lots of things to consider.”

The hearing, before a Senate Appropriations subcommittee, yielded a more muted, and even respectful, discussion than what Mr. Pompeo had with lawmakers in May, a month after he took over the State Department.