Grandparents in Texas can seek visitation rights by filing a lawsuit and demonstrating to the court that visitation is in the best interests of the child. The burden is on the grandparents to prove that denying them access to the child would significantly impair the child's physical health or emotional well-being. Texas law recognizes that maintaining a relationship with grandparents can be beneficial to the child's overall development. The court will consider factors such as the nature and quality of the grandparent-grandchild relationship, the child's preferences (depending on their age and maturity), the child's current living situation, and any evidence of harm to the child by denying visitation.