Bipartisan talks to reform gun safety laws are continuing even though members of Congress are out on recess.

Sen. John Cornyn, R-Texas, told reporters in San Antonio Monday, "We’re already having those discussions in person and on the phone. Look forward to meeting on Tuesday through a Zoom call to try to see if we can agree on a basic framework about how we go forward."

Cornyn’s Democrat counterpart, Connecticut Sen. Chris Murphy, tweeted that he spoke with senators from both parties Monday "trying to find the common denominator on a gun violence bill."

"Senator Schumer has given us just over a week to find a compromise. This time, failure cannot be an option," Murphy tweeted.

-ABC News' Trish Turner

The two injured adults who remain hospitalized at the Brooke Army Medical Center have been upgraded to good condition, the hospital said Monday.

Three other survivors remain at University Hospital: a 10-year-old girl in serious condition, a 9-year-old girl in good condition and the suspect's grandmother who is in fair condition, according to the hospital.

Seventeen people overall were injured in Tuesday's mass shooting.

-ABC News' Jennifer Watts

As President Joe Biden arrived at the White House Monday, he said he met with victims and their families Sunday for three hours and 40 minutes, adding that their "pain is palpable" and "unnecessary."

The back-to-back mass shootings in Buffalo, New York, and Uvalde, Texas, prompted a group of bipartisan senators to engage in some initial conversations about gun legislation. Biden said he hasn't spoken to Republicans about gun reform. Asked by a reporter if he thinks anything will now be different for Republicans, Biden said he did not know, but that he believes they’ll "take a hard look."

Noting that he has asked for Congress to act on guns, a reporter asked Biden if he has a particular responsibility now to get this done. Biden said he’d continue to take any executive action he can, but admitted that without Congress, he "can't outlaw a weapon" or change background checks.

-ABC News' Armando Tonatiuh Torres-García

Texas state Sen. Roland Gutierrez is counting down the days until the start of the next school year, which he said is 77 days.

Without change, "every day is one day closer to students dying," Gutierrez, a Democrat, told ABC News.

He is among the lawmakers calling on Texas Gov. Greg Abbott to convene a special session to address gun violence.

The senator also mentioned potential plans to tear down Robb Elementary and build a new campus.

"I want what families want. Every person has told me they don’t want to go back. Little kids I’ve met have told me they don’t want to go in that school," he said.

-ABC News' Marcus Moore and Darrell Calhoun

Those inside a classroom with the shooter made several calls to 911, but the tactical unit that arrived at 12:15 p.m. waited 35 minutes before breaching the classroom, Steven McCraw, director of Texas Department of Public Safety, said at a press conference Friday.

A 911 call was made at 12:03 p.m. from room 112 and lasted 23 seconds. McCraw did not identify the caller.

She called back at 12:10 p.m. and advised that there were multiple dead in the classroom, McCraw said.

The person then called again at 12:13 p.m. and again at 12:16 p.m., when said there were eight to nine students who were still alive, McCraw said.

A call was made by someone else from room 111 at 12:19 p.m., the caller hung up when another student told her to hang up, McCraw said.

At 12:21 p.m., three shots were heard over a 911 call. At 12:36 p.m., another 911 call was made by the initial caller and it lasted for 21 seconds. The student caller was told to stay on the line and be very quiet. She told 911 that the gunman shot the door, McCraw said.

At approximately 12:43 p.m. and 12:47 p.m., she asked 911 to please send the police now, McCraw said.

The caller said she could hear police next door at 12:46 p.m. At 12:50 p.m., the Border Patrol tactical unit finally breached the door and shot the suspect.