EXHIBIT 24.1 POWER OF ATTORNEY KNOW ALL MEN BY THESE PRESENTS, the undersigned, being certain of the Officers and all of the Directors of Costilla Energy, Inc., a Delaware Corporation, do hereby constitute and appoint Michael J. Grella and Bobby W. Page, or either of them, with full power of substitution, our true and lawful attorneys and agents, to do any and all acts and things in our names in the capacities indicated which Michael J. Grella and Bobby W. Page, or either of them, may deem necessary or advisable to enable the Company to comply with the Securities Act of 1933, as amended, any state securities laws and any rules, regulations and requirements of the Securities and Exchange Commission in connection with the Registration Statement seeking to register $100,000,000 of _____% Senior Subordinated Notes due 2006 of Costilla Energy, Inc., including specifically, but not limited to, the power and authority to sign such Registration Statement, any and all amendments (including post-effective amendments) to such Registration Statement and any other forms or documents related to such Registration Statement which are required under federal or state securities laws for us, or any of us, in our names in the capacities indicated; and we do hereby ratify and confirm all that Michael J. Grella and Bobby W. Page, or either of them, shall do or cause to be done by virtue hereof. This Power of Attorney may be signed in any number of counterparts, and each such counterpart shall be considered an original hereof. IN WITNESS WHEREOF I have hereunto set my hand this 12th day of July, 1996. /s/ CADELL S. LIEDTKE ---------------------------------------------- CADELL S. LIEDTKE, Chairman of the Board, Chief Executive Officer and Director /s/ MICHAEL J. GRELLA ---------------------------------------------- MICHAEL J. GRELLA, President, Chief Operating Officer and Director /s/ HENRY G. MUSSELMAN ---------------------------------------------- HENRY G. MUSSELMAN, Executive Vice President and Director /s/ BOBBY W. PAGE ---------------------------------------------- BOBBY W. PAGE, Senior Vice President, Treasurer and Chief Financial Officer /s/ JERRY LANGDON ---------------------------------------------- JERRY LANGDON, Director /s/ W.D. KENNEDY ---------------------------------------------- W. D. KENNEDY, Director