Attorney General Eric H. Holder Jr. already is moving on gun control, proposing three measures Monday to increase data sharing and data collection on firearms and potential gun purchasers, even as Congress begins to consider President Obama’s gun-control package on Capitol Hill.

The first of Mr. Holder’s proposals would expand access to information on gun permits to American Indian law enforcement agencies; the second would allow law enforcement to access the FBI’s national criminal database to conduct background checks on people they’re transferring weapons to; and the third would authorize the FBI to maintain records on denied firearms transactions in a separate database for longer than 10 years.

All three were published Monday in the Federal Register for comment.