Consult with a local family law attorney to help you. Keep seeing your children as often as possible. The more often you see them, the better chance of increasing visitation and improving your relationship with them.
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This answer is based solely on the limited information in your question because there may be issues that you have not revealed in this forum that could affect the outcome and plausibility of your success with your petition. That being said, I strongly advised you to file a modification petition with the family court but continue with the visits. You are not required to cease the supervised visits just because you are seeking to modify them. I also strongly advise you to consult with an attorney before filing your petition.
You may contact my office for a consultation for further information.
website www.montaslaw.com or at my office (347) 455-8023.
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This information is provided for General Legal Education and does not create an attorney client relationship. Tenaja A. Montas, Esq is admitted to practice law in the state of New York. For further information I may be contacted through my website www.lawofficeoftenajathomas.com or at my office (347) 455-8023.
Strategically, based upon your statement, you might best be served to go for modification. The ages of the children are a factor. Your expert therapists may be of help. You can't do worse than what you have. Continue the visits and keep asking for more time through their therapist.
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I agree with the previous answers. More information would prove helpful. We don't know what happened to make the children not want to visit with you. It may be nothing. It could have started with false allegations and parental alienation. Nonetheless, 2.5 years is a long time to suffer such extreme limitations with, seemingly, little progress. You have nothing to lose by consulting with an experienced and aggressive attorney to help you with this matter.
Whatever you do, don't stop seeing your kids. That will make things even more difficult in the long run.