WASHINGTON  Robert S. Mueller III, the director of the Federal Bureau of Investigation, traveled to Silicon Valley on Tuesday to meet with top executives of several technology firms about a proposal to make it easier to wiretap Internet users.

Mr. Mueller and the F.B.I.’s general counsel, Valerie Caproni, were scheduled to meet with senior managers of several major companies, including Google and Facebook, according to several people familiar with the discussions. How Mr. Mueller’s proposal was received was not clear.

“I can confirm that F.B.I. Director Robert Mueller is visiting Facebook during his trip to Silicon Valley,” said Andrew Noyes, Facebook’s public policy manager. Michael Kortan, an F.B.I. spokesman, acknowledged the meetings but did not elaborate.

Mr. Mueller wants to expand a 1994 law, the Communications Assistance for Law Enforcement Act, to impose regulations on Internet companies.