WASHINGTON — Sundar Pichai, Google’s chief executive, toured the nation’s capital this week trying to assuage concerns from both parties about the company’s size and influence, and whether its search results have political bias.

Mr. Pichai, who had largely avoided meeting with lawmakers, will be coming back.

Representative Kevin McCarthy of California, who organized a meeting with Mr. Pichai on Friday, said he expected him to attend a congressional hearing later this year. The hearing will address questions of political bias, as well as Google’s potential plans to re-enter the Chinese market, said Mr. McCarthy, the House majority leader.

Mr. Pichai confirmed in a statement that he would testify in “due course.”

In addition, he has agreed to participate in a discussion with other tech industry leaders and President Trump, said Larry Kudlow, the director of the National Economic Council.

Google had declined to send Mr. Pichai to testify this month at a Senate Intelligence Committee hearing about foreign manipulation of social media. The absence upset many lawmakers, leading to his visit this week.