In the first set of the final, Errani served at 5-2 and had a set point when the game went to 40-40, but this was saved by Routliffe, who put the ball away with a smash at the net.
However, in the next game, on Gauff’s serve, the American made a couple of errors to find herself down 15-40, then on the next point went too long on a forehand.
At 30-30 and deuce in the seventh game of the next set, Gauff and Errani had a lengthy crosscourt exchange from the ad side and during it Gauff steadily overpowered her opponent to win the point and get the crucial break.
Routliffe consolidated the break in the next game and Paolini saved two set points in the next.
However, Gauff followed this by holding serve, to send the match into a third-set super tiebreak.
Routliffe and Gauff went out to a 4-1 lead and at the second change of ends they were up 7-5.
This was extended to 8-6, but the Italians then went on a charge and had a match point at 9-8 on Gauff’s serve.
The parochial crowd, who cheered a Gauff double fault earlier in the super tiebreak, let out another huge hurrah when the American’s first serve went into the net and unfortunately, there was the same outcome from Gauff’s second serve.
There will no doubt be disappointment at coming so close to winning a WTA 1000 tournament together, but Routliffe has picked up enough points from this tournament to move up to third in the world rankings when they’re next released, which will be a career-high for the Auckland-born 29-year-old, and she also pocketed $115,000 in prizemoney.
Routliffe’s time in Rome will also be a good confidence boost for her before playing in Strasbourg and the French Open with Leylah Fernandez, as she continues to be more comfortable on clay.
Meanwhile, Lulu Sun has been drawn against world No 278 Nigina Abduraimova, of Uzbekistan, in the first round of qualifying at the French Open.