The Amaranto are expected to wield the axe on their coach after picking up one point from the last eight rounds, and they were beaten 3-0 at home by Parma on Saturday.
An intriguing option has been floated, as it’s reported Livorno President Aldo Spinelli asked Trapattoni to take over.
Trap is currently looking for work after he terminated his contract with the Republic of Ireland by mutual consent.
Although he will be 75 in March, he has no intention of retiring and this would be his first Serie A job since leaving Fiorentina in 2000.
Since then he has worked as Italy coach, then Benfica, Stuttgart, Salzburg and Ireland.