Peripheral Artery Disease (PAD): This condition is characterized by the narrowing or blockage of the blood vessels outside of the heart, leading to reduced blood flow to the limbs. Symptoms include coldness, numbness, and pain in the feet, making it a likely cause for the described symptoms.

Diabetic Neuropathy: High blood sugar levels can damage nerve fibers, leading to numbness, tingling, and coldness in the feet. Given the prevalence of diabetes, this is a common cause of such symptoms.
Hypothyroidism: This condition can cause decreased circulation and nerve damage, leading to feelings of coldness and numbness in the extremities.
Vitamin B12 Deficiency: A deficiency in vitamin B12 can lead to nerve damage, causing symptoms such as numbness and coldness in the hands and feet.

Deep Vein Thrombosis (DVT): Although less common, DVT is a potentially life-threatening condition that can cause coldness and numbness in the affected limb due to a blood clot blocking blood flow.
Aortic Occlusion: A blockage of the aorta can severely reduce blood flow to the lower limbs, leading to coldness, numbness, and potentially gangrene. It's a medical emergency.
Spinal Cord Injury or Compression: Injury or compression of the spinal cord can disrupt nerve signals, leading to numbness and coldness in the feet. Prompt diagnosis is crucial to prevent further damage.

Erythromelalgia: A rare disorder characterized by burning pain, heat, and redness in the hands and feet, which can sometimes present with feelings of coldness and numbness.
Raynaud's Phenomenon: A condition that affects blood flow to the fingers and toes, and sometimes the ears, nose, and lips, causing them to turn blue or white in response to cold or stress. It can lead to feelings of numbness and coldness.
Complex Regional Pain Syndrome (CRPS): A chronic pain condition that can cause numbness, tingling, and changes in skin temperature, among other symptoms, usually after an injury or trauma.