Top officials from the State and Defense Departments are expected to testify.
A bipartisan bill unveiled this week would expand federal law to include protections for the pets of domestic violence victims.
Sen. Patrick Leahy called his proposal a fitting tribute to "Bloody Sunday" marchers.
Rep. Hank Johnson's (D-Ga.) bill comes in the wake of the Ferguson controversy.
The session lasted for about five minutes.
The Department of Veterans Affairs has more than 214,000 backlogged disability claims.
Patrick McHenry's bill would bar illegal immigrants from the earned income tax credit.
Friday's session lasted for approximately 30 seconds.
"The steady persistence of this problem demonstrates the need for more action."
Rep. Jim Sensenbrenner said the bureau is "an affront to the Second Amendment."