In homoeopathy, several remedies are indicated for conditions where the upper part of the body is hot while the lower part is cold. Here are some commonly used remedies:

1. Belladonna: Hot, red face with cold hands and feet. It is often used for conditions with sudden onset, high fever, and throbbing pain.

2. Aconitum Napellus: Hot, red face with cold extremities, especially after exposure to cold air or sudden fright. It is used for conditions with intense anxiety and restlessness.

3. Bryonia Alba: Hot, dry skin with cold hands and feet. It is often used for conditions with dryness, irritability, and a desire to be left alone.

4. Ferrum Phosphoricum: Hot, red face with cold extremities, especially in the early stages of inflammation. It is used for conditions with a tendency to bleed easily.

5. Gelsemium Sempervirens: Hot, red face with cold, clammy hands and feet. It is often used for conditions with weakness, trembling, and a feeling of heaviness.

6. Phytolacca: Hot, red face with cold hands and feet, especially in conditions with sore throat and hoarseness. It is used for conditions with a tendency to bleed easily.

These remedies are selected based on the individual’s unique symptoms and constitution. Consulting with a qualified homoeopath is essential to determine the most appropriate remedy for your specific case.