Database linkage

I have a website for trademark registration in Mexico. In order to check if trademarks are available for registration, I need to consult a pubic database from the mexican government, but I want to establish a system in which customers enter the name of the trademark they want to register through my website and without leaving my website, my customer will be able to see if the brand they want to register is available or not. This means that I need your help in order to design a system that will take the customers search and automatically look in the database and return the results, telling him if its available or not. The database from which the information will be retrieved is this one: [login to view URL] There is another website which has already done it, therefore I know it is possible. If you are able to do it or have more questions regarding the project please do not hesitate to contact me. Thank you very much.