U.S. immigration law offers no direct way to obtain U.S. green cards for one's grandparents, aunts, uncles, nieces, nephews, and more extended relations—unless you can create a chain of relationships so that a more immediate family member can petition for them.
Generally speaking, grandparents are granted some level of visitation so long as there are no concerns. Some examples of disqualifying concerns would include alcohol abuse, a history of violence, and other factors that would determine a person unfit to spend time with children.
The Reigning King of What Can Be Used Against You in a Custody Battle: Verbal or Physical Altercations. We wanted to start with the most simple pitfall to avoid: When tempers get high, it's quite alluring to get into a verbal sparring match with your ex-spouse.
The child's age, gender, characteristics and background will all be a factor in the decision process. The judge or magistrate will want to ensure that the child is safe from any possible harm and the parent has the ability to meet the child's needs.