Derbyshire lost to Sussex by 243 runs on Day Four of the Specsavers County Championship match at The 1st Central County Ground.
The visitors were bowled out for 161 in their second innings after the Sussex top order had yesterday built quickly to set Billy Godleman’s men a record 405 runs to win.
Resuming on six without loss in their chase, the Derbyshire openers were rarely troubled in the opening hour and went on to add 52 runs before Godleman was bowled by David Wiese for 14.
Wayne Madsen fell just one run later, lbw to Chris Jordan without scoring, and Sussex were back in control with the score 59-2.
Ben Slater was struck on the head shortly before lunch by a fierce bouncer from Jofra Archer and the left-handed opener was forced to retire hurt on 40.
Under ECB regulations, Anuj Dal (25) replaced Slater in the batting line-up and made his first-class debut after earlier featuring as 12th man.
He was soon in the middle as Sean Ervine (1), Matt Critchley (7) and Daryn Smit (5) all fell soon after lunch as Derbyshire slipped to 89-5.
Alex Hughes made 20, soaking up 67 deliveries before he was caught behind by Ben Brown off right-arm seamer Ollie Robinson.
Dal struck Danny Briggs down the ground for six and shared a 31-run stand with Hardus Viljoen, but the tall bowler became the seventh wicket to fall and with the score 140-7, the hosts closed in on victory.
They were made to wait as Palladino (14 not out) and Dal continued their stubborn resistance for 11.1 overs and took Derbyshire to tea.
However, Dal was out in the first over after tea and Lockie Ferguson followed for one, Derbyshire all out for 161 as Sussex claimed a 243-run win.
Derbyshire are back in four-day action at The 3aaa County Ground next week against Kent; starting on Wednesday 29 August.
Four-day cricket is back! Derbyshire host three Specsavers County Championship matches in August and September. Buy in advance and save.