Police say multiple people approached the 24-year-old as he was walking into his house.
DHS Secretary Kristi Noem made her first public comments since Saturday.
DHS report sent to the House Oversight Committee says two federal agents shot Alex Pretti and does not say that Pretti drew his gun.
The doctor who is accused of gunning down his ex-wife and her husband had allegedly told his ex "he could kill her at any time," according to court documents.
Videos reviewed and verified by ABC News do not appear to support assertions by DHS Sec. Kristi Noem that Alex Pretti "approached U.S. Border Patrol officers with a 9mm semi-automatic handgun" and "attacked" officers carrying out immigration duties.
The second fatal shooting this month of an American citizen in Minneapolis at the hands of a federal agent has ratcheted up tensions in the city once again.