Morton's Neuroma: This condition is characterized by a burning pain in the plantar aspect of the foot, often accompanied by numbness. It occurs due to the compression of the intermetatarsal nerve, typically between the third and fourth toes. The symptoms match closely with the described pain and numbness, making it a highly plausible diagnosis.

Plantar Fasciitis: This is a common cause of heel and foot pain, often presenting with burning or aching sensations, especially after periods of rest or at the start of the day. While it primarily affects the heel, the pain can radiate to the plantar aspect of the foot, potentially causing numbness.
Tarsal Tunnel Syndrome: Similar to carpal tunnel syndrome in the wrist, tarsal tunnel syndrome involves the compression of the posterior tibial nerve as it travels through the tarsal tunnel on the inner side of the ankle. Symptoms include burning pain, numbness, and tingling in the foot, making it a likely consideration.
Peripheral Neuropathy: This condition results from damage to the peripheral nerves and can cause a variety of symptoms, including burning pain, numbness, and tingling in the feet. Diabetes is a common cause, but other factors such as vitamin deficiencies, alcohol abuse, and certain medications can also lead to peripheral neuropathy.

Deep Vein Thrombosis (DVT): Although less common, DVT can present with pain and swelling in the leg, which might be perceived as burning pain in the foot, especially if the clot is located in the lower extremities. It's crucial to consider DVT due to its potential for severe complications, such as pulmonary embolism.
Compartment Syndrome: This is a serious condition resulting from increased pressure within a muscle compartment, which can lead to nerve and muscle damage. Symptoms include severe pain, numbness, and tingling, often out of proportion to the apparent injury. It requires immediate medical attention to prevent long-term damage.

Leprosy (Hansen's Disease): A chronic bacterial infection that can cause nerve damage, leading to numbness, tingling, and burning sensations in the feet. It's rare in many parts of the world but should be considered in patients with a history of travel to or residence in endemic areas.
Erythromelalgia: A disorder characterized by burning pain, heat, and redness in the hands and feet. It can be primary (genetic) or secondary to other conditions, such as myeloproliferative disorders. The symptoms can be severe and debilitating, making it an important, though rare, consideration.