thanks for the query. the condition that you are describing sounds like pyogenic granuloma
. it is a benign vascular groth, and is quite common on nailbed. usually the inciting factor being trauma. please don't try to pull it out on your own. that will increase bleed. there are various treatment options available, ranging from radiocautery, curettage,shave excision. kindly consult the dermatologist
for the above mentioned procedures.