When the Roman died at home surrounded by his family, it was the duty of his oldest son to bend over the body and call him by name, as if with the hope of recalling him to life. The formal performance of this act (conclāmātiō) he announced immediately with the words conclāmātum est. The eyes of the dead were then closed, the body was washed with warm water and anointed, the limbs were straightened, and, if the deceased had held a curule office, a wax impression of his features was taken . The body was then dressed in the toga with all the insignia of rank that the dead had been entitled to wear in life, and was placed upon the funeral couch (lectus fūnebris) in the ātrium , with the feet to the door, to lie in state until the time of the funeral. The couch was surrounded with flowers, and incense was burned about it. Before the door of the house were set branches of pine or cypress as a warning that the house was polluted by death. The simple offices that have been described were performed in humble life by the relatives and slaves, in other cases by professional undertakers (libitīnāriī), who also embalmed the body and superintended all the rest of the ceremonies. Reference is made occasionally to the kissing of the dying person as he breathed his last, as if this last breath was to be caught in the mouth of the living; and in very early and very late times it was undoubtedly the custom to put a small coin between the teeth of the dead with which to pay his passage across the Styx in Charon's boat. Neither of these formalities seems to have obtained generally in classical times.
For more info on what happened next including the funeral procession and oration and what happened at the tomb etc take a look HERE