Max Evans was named man of the match for a terrific stint in the centre alongside Graeme Morrison as they made their case to Scotland coach Frank Hadden ahead of Tuesday's RBS 6 Nations squad announcement with accomplished performances.
But it was Parks, who wasn't in the original selection and only played after Ruaridh Jackson pulled out with injury, who stole the show in Lineen's eyes.
The former Scotland centre said: "We kept the ball well and Dan was simply outstanding. It was an absolutely fantastic result and I am so proud of every one of the boys. They stuck to the gameplan and it worked a treat."