Internet Banking The Refugio County FCU is now open 24 hours a day, 365 days a year with Internet Banking. Unlimited access to your account from anywhere in the world, any time of the day or night. 24 Hour Access Toll Free Audio Response 1- 866-301-1053 You are now able to access your account from anywhere in the United States, any time day or night. Call The Credit Union for more information. Some restrictions apply.