Authorities say a 17-year-old student carried out the attack.
Some Parkland students, who have led a grassroots movement to toughen gun laws, have expressed their support to students in Santa Fe - a rural community about 35 miles southeast of Houston.
The talks came in the aftermath of Friday's massacre at Santa Fe High School that killed eight children and two teachers in the latest example of the mass shootings that have become a pervasive part of American life.
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.
"It's disgusting, it's just tough", said Williams when asked about the shooting that took the lives of eight students and two teachers.
One gun-control group, Texas Gun Sense, said it will push this week for tougher background checks on gun purchases, suicide-prevention programs, gun safety at home and so-called "red flag" laws that restrict gun access for people identified as potentially risky.
The shooting rampage in Florida sparked a gun control campaign by students and parents that has piled on pressure nationwide for lawmakers to enact gun control legislation.
In a statement, the family of the shooting suspect said they were "saddened and dismayed" by the deadly attack and "as shocked as anyone else".
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None of those scenarios would have snagged the suspect in Santa Fe. They'll have access to "counseling assistance from many state and local agencies" and will see additional law enforcement officers on campus, the superintendent said.
Galveston County Sheriff Henry Trochesset said Monday police were able to "engage" the shooter four minutes after they were called.
After the Florida tragedy, President Donald Trump organized discussions on how to prevent school shootings and at least mentioned the idea of limiting gun sales, though little concrete came out of those.
Reynolds-Perez and Banks both said they thought Abbott was serious about making changes.
As well as killing 10, the shooting spree also injured 10 more, including John Barnes, 49, a retired Houston police officer now working as the Santa Fe resource officer who was first to confront the shooter.
"The problem is that innocent people are being shot", Abbott said. There is pressure on Texas Gov. Greg Abbott to call a special session of the legislature to address school safety in the wake of the shooting. The governor's office said he would hold roundtable discussions from Tuesday to focus on the best options.