In this specific context, I believe the terms "solicitudes y registros" are refering to (1) trademark/patent applications and (2) trademark/patent registrations that have already been granted. Both paragraphs are merely listing the services that are being offered and, specifically, the phrases "seguimiento y vigiliancia a las solicitudes y registros" refers to "watch services" that intellectual property law firms provide their clients to monitor the status of their trademark/patent applications and registrations. A watch service is provided for trademarks/patents that have already been registered to alert the trademark/patent owner to filings of applications for new trademarks/patents which may be confusingly similar to the owner's already-consolidated registrations and which might constitute an infringement of his rights. When the watch service monitoring the trademark/patent registration finds an application that might conflict with his client's rights he sends him a "watch service notice" offering to file an opposition to the application on the client's behalf. Here are examples:

U.S. State Trademark Registration Watch Service
--Ladas & Parry offers the service of watching state trademark registrations in virtually all of the 50 states of the United States. We consider this an important feature of our trademark watch services, since conflicting marks that are registered in states only may never be applied for on the U.S. Federal Register and thus go undetected by a watch of the Federal Register alone.
http://tmw.ladas.com/service3.htm

In addition to statutory maintenance requirements, it is important to be vigilant in protecting your mark from use by others of the same or similar marks that may cause confusion in the marketplace. To assist in this policing effort, we recommend subscribing to a trademark watch service to determine if others are seeking to register the same or similar mark. (...) In addition, international watch services are also available that provide notice of trademark filings all over the world. Finally, a "domain name" watch service focuses on name registrations on the Internet.
http://www.perkinscoie.com/page.cfm?id=256


5$ 600. Trademark Affidavit of Use (Section 8). 5$ 300. Trademark Affidavit of Use (Section 15). 5$ 400. Trademark Registration Watch Service ...
www.patentnow.com/prices.htm

Finally, establish a Trademark Watch service. As your company becomes more successful, so does the value of your trademark. Protect your now-tangible, ...
www.mycorporation.com/newsletter/archives/0907-2005.htm

If you need Spanish-English vocabulary related to patents and trademarks, you can view the websites of Elzaburu (Spain's leading intellectual and industrial property law firm) in both Spanish and English.
http://www.elzaburu.com/index_i.cfm