Yes, you'll find most hotel reservations are fully refundable if you cancel prior to the accommodation's cancellation deadline, which often is within 24-48 hours of your check-in date. If your reservation is non-refundable, you might be able to still cancel and receive a refund within a 24-hour period of your booking. Add your dates and click on "Search", then you can filter by "fully refundable" to review the best deals available near Altai Petroglyphs.
