The 19-year-old's body was found 'stuffed in an American-style fridge freezer' at a detached property in Kingston-on-Thames, west London, on Wednesday evening.
A second woman, 21 - understood to be the dead victim's cousin - managed to escape the property after being slashed across the throat.
She banged on doors in the neighbourhood for help, according to the Evening Standard, before she arrived at a hospital with stab wounds and cuts, where staff alerted police. She remains in a serious condition.
A 33-year-old man, who was believed to have been fleeing the country, was later arrested in Dover, Kent, on suspicion of murder and attempted murder. Another man, 28, has been arrested in New Malden on the same allegations.
Neighbours indicated the crime is an honour killing and the police said they were 'keeping an open mind' on the motive, but the relationship between the women and the suspects has not been confirmed.
Officers said the two women knew the man who took them to the property and that they are not looking for anyone else in connection with the incident.