Liverpool suffered a heavy 3-0 loss to Napoli seven days before their domestic campaign begins against Manchester City in the Community Shield.
Lorenzo Insigne was involved in three goals at Murrayfield as Liverpool made it four pre-season games without a win.
The striker curled in the opener before setting up Arkadiusz Milik with a fizzing, low cross after half an hour.
And the rebound from his shot fell kindly for Amin Younes to complete the scoring after the break.
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