While a freshly grilled steak may appear "bloody," the juices you see are mostly water. It's red because the water mixes with a special protein called myoglobin.
Myoglobin is found in mammalian muscles, where it stores oxygen. Blood contains a protein called hemoglobin, which binds to oxygen and carries it throughout the body.
When blood reaches organs and muscles, the oxygen transfers from hemoglobin to myoglobin. They perform the same function but store oxygen in different places.