Apple jelly nodules on the nasal septum are found in case of
Lupus vulgaris is a low-grade tuberculous infection commonly affecting nasal vestibule or the skin of nose and face. 
The skin lesions manifest characteristically as brown, gelatinous nodules called "apple -jelly" nodules. 
In the vestibule, it presents as chronic vestibulitis. 
Perforation may occur in the cartilaginous part of the nasal septum. Treatment is same as for tuberculosis.
Tuberculosis
Lupus Vulgaris
Syphilis
Rhinoscleroma