Can I extend a Dubai escort booking if things are going well?

Usually yes. If the evening is going well and both you and the companion want to continue, ask her directly. Most companions are happy to extend if they do not have another booking. Additional time is charged at the same hourly rate or sometimes at a slightly reduced rate for extensions. Have additional cash available in case you want to extend. The best approach is to book for three hours initially and extend to overnight if the chemistry is right rather than committing to overnight with someone you have not met.