Two groups of women whose children died during the perinatal period (28 weeks of gestation to 28 days after birth) were studied from the medical-psychological point of view. The first group was formed by 20 patients who reacted to the loss of the with a prolonged process of grief. The second group was formed by 20 patients (comparison group) who elaborated the loss by means of an uncomplicated grief process. The general hypothesis that guided this investigation is the following: the link established between the mother and her real Child, in case the latter should die, makes elaboration of grief easier: on the other hand the insufficient link or lack of it with the real increases the relation of the mother and her child, increases the relation with her so that if that dies the narcissistic-type internal, mother-baby relationship tends to complicate the mourning by distorting it and making it last longer. Real child refers to the as an external object and imaginary child is the experienced representation of the or internal object. This general hypothesis was sub-divided into five simple hypothesis, for operative aims. These variables are: visual contact, tactile contact between mother and child. Information about the baby's condition, mother's active participation in searching for a name for the and her attendance to funerary rites. Results confirmed the basic hypothesis, on establishing that the indicating or facilitating variables of the link showed a significant difference from the statistical point of view between the two groups. Some practical suggestions are made for the personnel of maternity and perinatology services so as to propitiate and facilitate contact between the mother and her child, which at its turn activates the establishment of an emotional link and the elaboration of mourning of the loss of the baby in case he/she should perish.