Yes Texas law permits a suit for quiet title based on adverse possession after 10 years.You will need to prove you made use f property here, mowed it, farmed, it or otherwise occupied it as well.You would want to park something on the property here, it can be a bench, sign, really anything to show this for court.
Here is the statute.
Tex. Civ. Prac. & Rem. Code § 16.026 (Ten-Year Statute [“Bare Possession Statute”]):
(a) A person must bring suit not later than 10 years after the day the cause of action accrues to recover real property held in peaceable and adverse possession by another who cultivates, uses, or enjoys the property.
(b) Without a title instrument, peaceable and adverse possession is limited in this section to 160 acres, including improvements, unless the number of acres actually enclosed exceeds 160. If the number of enclosed acres exceeds 160 acres, peaceable and adverse possession extends to the real property actually enclosed.
(c) Peaceable possession of real property held under a duly registered deed or other memorandum of title that fixes the boundaries of the possessor’s claim extends to the boundaries specified in the instrument.
The 10-year provision is the catch all. A deed or other memorandum of title is not necessary so long as the elements of adverse possession are met. However, such documentation may be useful to establish the boundaries of the claimed tract; otherwise the key to determining boundaries may be that which is fenced in as a “designed enclosure”—not just a “casual fence.” Rhodes v. Cahill, 802 S.W.2d 643, 646 (Tex. 1990).