A sublease is an agreement where someone takes over part or all of an existing lease. This type of lease involves at least three parties.A Texas lease agreement is a written contract explaining the inner workings of a rental transaction involving a piece of real estate. A sublease agreement is a legal document that permits a tenant to rent out their property to another person, known as a subtenant. A Texas sublease agreement defines the terms that allow a subtenant to move into an alreadyleased rental unit. Ask questions about anything that is unclear. Put everything in writing, including agreements, notices and requests. We can help you lease excess space in Houston office buildings, Houston commercial real estate, and Houston commercial property. Could a commercial sublease agreement be right for your business? Let's take a look at some of the risks and benefits involved.