President Masoud Pezeshkian, Sen. John Kennedy, Rep. Jim Himes

This week on Face the Nation, President Trump turns his focus to the midterm elections, following a week of high-stakes summits with foreign allies and adversaries.

The president spent much last week striding the world stage without ever leaving the U.S., first delivering a stark warning to Iran in his speech to the United Nations General Assembly.

So what is the status of that potential deal? In a network exclusive, we'll hear from Iranian President Masoud Pezeshkian on his country's latest offer to reopen the Strait of Hormuz and end the conflict.

Then, Chinese President Xi Jinping's state visit to Washington drew no shortage of pomp and circumstance, but behind it all, serious tensions remain. Chief among them, the status of Taiwan. We'll check in with the territory's representative to the U.S., Ambassador Alexander Yui.

Plus, with midterm elections just weeks away, Republicans are scrambling to save their majority in both houses. We'll ask Louisiana Republican Senator John Kennedy about the outlook for the GOP and Connecticut Democratic Congressman Jim Himes on his party's plan to govern if it does take the majority.

It's all just ahead on Face the Nation.