But there had been warning signs in terms of how Wales have started games by conceding early, an unfortunate habit that continued in Swansea as the visitors pounced after just nine minutes.
What will frustrate Wilkinson all the more is her team had opportunities to twice clear their lines as the corner for the opener was swung in.
But defenders were first not strong enough and then not quick enough to react as Roma's Linari swiped home just her sixth goal in 114 international appearances.
The defending was not much better for the second 12 minutes later.
The free-kick for a foul by Lily Woodham was questionable, but the delivery from Manuela Giugliano was superb, as was the glanced header from Girelli. For all the quality, the concern will be the space the Juventus forward was afforded to score.
The response was meagre. Rachel Rowe and Ceri Holland's right-sided combinations on the counter were the best Wales could muster, although did not produce a clear-cut chance.
Italy, though, hardly had to work for theirs. The third came four minutes before the break as missed tackles – and maybe a missed throw-in from the officials – eventually saw a Girelli cross deflected into the path of a completely unmarked Cantore.
And – after Clark saved superbly from an outside of the boot volley from Cantore before succumbing to what appeared to have been an earlier blow to the head – replacement keeper Safia Middleton-Patel's first job was to pick the ball out of the net as Girelli ghosted her way to connect with Giugliano's corner.
Stoney-faces among senior players on the bench, including record-breaking midfielder Fishlock, told a story.
But there was at least a steelier showing after the break that will encourage Wilkinson. Changes energised the hosts a little and helped them threaten in the final third.
Fishlock, so often the side's inspiration, made sure the evening finished on something of a brighter note as she pounced on a loose ball and struck from long range, the ball beating the keeper and going in off the underside of the bar.
While Wales can take heart of the way they responded, they will also need to heed some harsh lessons. The challenges will not get any easier in Switzerland.