Texas's conservative and powerful lieutenant governor, Dan Patrick, suggested after the shooting that school buildings may need fewer entrances and exits, and that violent video games may be partly to blame.
"We have our schools that are not hard targets".
Santa Fe was still reeling from the attack.
Texas' second day of roundtables on curbing school shootings will tackle the thorny issue of gun control, with the state's chief firearm lobbying association and a gun reform group attending.
Greg Abbott was set to hold a series of meetings Monday on how to combat school violence, three days after a 17-year-old killed 10 people in the fourth-deadliest mass shooting at a public school in modern USA history.
In addition, administrators from school districts that participate in the School Marshal program will take part.
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The shooting at Santa Fe High School occurred about three months after 17 teenagers and staff were shot dead at Marjory Stoneman Douglas High School in Parkland, Florida, stoking the national debate over gun control.
But Texas is not expected to follow Florida's path in enacting new gun restrictions.
Abbott will meet with two dozen people, including supporters and opponents of arming teachers, following the fourth-deadliest US school shooting this year at Santa Fe High School in Santa Fe, Texas on Friday.
Seventeen-year-old junior Shelby Aguilera said walking the empty halls Tuesday was "eerie", adding, "I didn't want to be there and I got sick to my stomach".
"We're grieving differently. Mainly, we just want to be left alone - is what the community wants", McGuire said.
He is also accused of injuring 13 other people.
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Aguilera says she's ready for classes to resume next week so that she can join with friends again "to show how strong we are".
Two teachers and eight students, including Pakistani exchange student Sabika Sheikh, 17, were killed in the attack, police said.
His voice cracked as he described how he told police to let him inside the school so his son, Dimitrios Pagourtzis, could kill him instead. "All I can say is what I suspect as a father".
Attendees of Tuesday's discussion included leaders from the Texas House and Senate and the heads of the Texas Education Agency and the Texas Department of Public Safety. Numerous aspects of the attack mirrored another American school shooting: The massacre at Columbine High School in Colorado in April 1999, when two teenage boys with weapons hidden under trench coats killed 12 students and one teacher.
"Texas Republicans look at this tragedy and they do not see the gun as the problem", said Mark Jones, a political science professor at Rice University in Houston.
About two-thirds of Texas Republicans believe if more people carried guns, the state would be safer, according to a statewide survey in late 2017 from the University of Texas and Texas Tribune. The first one features officials from districts that arm some teachers or contract with local police for security.
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