As a player, Alvini was a defender who spent his entire short career in the amateur leagues of his native Tuscany, first with Firenze Ovest and then with Signa, before retiring in 2000 due to an injury.
[12] On 16 June 2021, recently promoted Serie B club Perugia announced Alvini as their new head coach on a two-year deal following the departure of their previous boss Fabio Caserta.
[13] Under his guidance, Perugia completed the season in eighth place, qualifying to the promotion playoffs, where they were eliminated in the first round by Brescia after extra time.
[14] On 9 June 2022, one day after his departure from Perugia, Alvini was unveiled as the new head coach of newly promoted Serie A club Cremonese, with whom he is set to make his debut in the Italian top flight.
[15] He was however sacked on 14 January 2023, following a 2–3 home loss to Monza, leaving Cremonese at the bottom of the league table with seven points and no wins in eighteen games in charge of the Grigiorossi.