The Amaranto won promotion to Serie A last season, and Nicola was delighted that they managed to achieve a positive result against one of the league's bigger clubs.
"It is our first point against a big club," he told Sky Sport Italia.
"We proved that we are very organised and looking at the statistics our victory would not have been daylight robbery, even if Milan hit the bar.
"We put in a confident performance and I am happy with the way my team played. We can still improve, as this side has a lot more to give."
Livorno are currently 18th in the Serie A table.