People embrace at a makeshift memorial left in memory of the victims killed in a shooting at Santa Fe High School, in Santa Fe, Texas, U.S., May 22, 2018.
Friends and family grieve at the school in the wake of the shooting.
Twenty-three people were invited to the first of the three closed-door meetings, including politicians from both parties, education and public safety officials, and experts on building design and arming teachers. Abbott said he'll meet Wednesday with gun rights and gun control advocacy groups and Thursday with victims of the attack at Santa Fe High School and the November attack on a church in Sutherland Springs.
The governor has said he sees the roundtables as an essential step in coming up with a consensus approach to enhance school safety.
Abbott says everyone shares a "common goal - to protect innocent lives".
About 20 people, including those who support arming teachers, attended the first of three days of meetings in the state capital, Austin, following the fourth-deadliest USA school shooting this year at Santa Fe High School in Santa Fe, Texas, on Friday.
He has been a staunch supporter of gun rights, and few expect the meetings to result in recommendations for significant gun restrictions in Texas.
One of the state's most prominent Republican leaders, Lieutenant Governor Dan Patrick, said he wanted to limit entrances to schools and stagger class starting times to allow for searches.More news: The Right Stuff author Tom Wolfe dies at 87
Students will return next Tuesday, Wall said.
Rhonda Hart, the mother of 14-year-old Kimberly Vaughan and a military veteran, tells The Associated Press she thinks Texans who want to buy guns should be subject to the same rigors as a person who wants to seek an abortion, including a mandated weeklong waiting period and counseling. A 17-year-old student is being held on capital murder charges.
Police arrested Dimitrios Pagourtzis, 17, at the Santa Fe school following the rampage they said he committed with a shotgun and a.38-caliber pistol. His voice cracks as he describes how he told police to let him inside the school so his son could kill him instead. They will be held at the state capital starting Tuesday. "All I can say is what I suspect as a father".
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 Texas Democratic Party in a statement called the roundtable meetings "theatrics" and chastised Abbott for holding the discussions behind closed doors.
While Santa Fe grieves the deaths of eight students and two teachers, Texas Gov. Greg Abbott will host a second roundtable discussion Wednesday to find ways to help stop school violence.
Texas, a conservative stronghold, has some of the most permissive firearm laws in the United States, and new gun restrictions are unlikely.