Answer: If you thawed the steaks in the refrigerator, you’ve got some time. Steak that’s been defrosted in the fridge can be safely kept for an additional 3 to 5 days in the refrigerator before cooking, says the U.S. Department of Agriculture. You also can safely refreeze the steak within that same timeframe.teak that’s been defrosted in the fridge can be safely kept for an additional 3 to 5 days in the refrigerator before cooking, says the U.S. Department of Agriculture.