The Secret Service is investigating the breach, a spokesman confirmed to The Hill.
Paul also floated the idea of prosecuting the national intelligence director for perjury.
A report from a panel Obama convened has recommended a substantial overhaul.
Senate Commerce Committee members called for Congressional action on the issue of data brokers, or companies that track consumers online and offline for marketing purposes.
The hearing coincided with the Committee’s release of its report on data brokers, based on an investigation that began last year.
The Committee heard from witnesses that data brokers collect sensitive information to target ads to consumers outside of laws that govern sensitive information, such as laws regarding financial and health information.
Senate Commerce Committee Chairman Jay Rockefeller (D-W.Va.) said tracking by "data brokers" is worse than surveillance by the U.S. government.
During a Wednesday hearing on the data broker industry, Rockefeller compared data brokers’ tracking of Americans to government surveillance of Americans, saying the latter is less concerning.
“The [National Security Agency] is so secure in its protection of privacy as compared to this group that we’re talking to, these data brokers,” he said. “It’s not even close.”
The plan to end the blackout rules for broadcasts would have the biggest impact on the NFL.
The agency is compiling a database of subscribers to the controversial phone subsidy program.
The White House will release a report on recommendations to reform the agency's programs.
The Senate Commerce Committee released a report Wednesday warning of the harms of firms that silently track and label consumers for marketing purposes.
The report — based on an investigation of nine companies that Chairman Jay Rockefeller (D-W.Va.) initiated last year — focuses on data brokers, or companies that track consumers online and offline, and encourages continued oversight of the industry from lawmakers.
The president is meeting with the group in the Situation Room to discuss their reform plan.