Nottinghamshire secured two late wickets to keep Somerset in check as the visitors closed 67 runs in arrears on day two at Trent Bridge.
A century from Tom Abell led a strong Somerset effort, but Tom Lammonby and Tom Banton fell in the evening session to leave their side 293 for four in reply to the hosts’ 360 all out.
At the start of the day, Nottinghamshire had extended their first innings by nine overs from 326 for eight overnight, picking up a third batting point before Somerset’s bowlers could winkle out the last two wickets, seamers Migael Pretorious (four for 96) and Kasey Aldridge (five for 95) finishing the job.
Nottinghamshire fast bowler Olly Stone, the principal architect of a recovery from 190 for seven on day one, fell just before the 350 was reached, edging Pretorius to second slip for an 83 that was warmly acknowledged by the home crowd, who saw him make 90 against Lancashire last month.
Aldridge completed his five-fer when Dane Paterson, after a typically enterprising cameo, was caught on the extra cover boundary, with Dillon Pennington unbeaten on 29.
As Somerset began their reply, Pennington picked up an early scalp with the ball thanks to a fine catch at third slip by Will Young as Andy Umeed departed in the sixth over.
Tom Kohler Cadmore made 38 in his first Championship action of the season before falling soon after lunch to a superb piece of work on the leg side by Tom Moores, as Stone gained his 15th wicket of the Championship campaign.
Thereafter, Lammonby and Abell patiently built a half-century apiece, in the former’s case for the sixth time this season.
Lammonby’s came from 104 balls with six fours, among them a couple of glorious off-drives. Abell completed his from 101 balls soon afterwards, clipping Harrison crisply to the leg-side boundary for his seventh boundary.
The breakthrough ultimately came from the seamers at captain Hameed's disposal, as Lammonby played across a ball from Paterson that held its line and was leg before.
It broke the partnership after 48 overs, after which the wait for the next wicket was considerably shorter - just seven deliveries - as new batter Tom Banton prodded at one from Harrison to be caught behind.
Nottinghamshire will benefit from the use of a ball just five overs old when they resume on day three, with Abell steadfast at the crease for the visitors having completed his century from 202 balls.
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Notts Outlaws' next home Vitality Blast clash sees them entertain Leicestershire Foxes on Friday 5 July.