Clarke, a multiple County Championship winner, won two Test caps and made 20 one-day international appearances for England.
Looking to get some quality match practice ahead of joining the Indian in Durham on Thursday, Ashwin did more than enough with 58 overs under his belt and a match haul of 7 for 127.
Ashwin, who is one of the three Indian spinners to take over 400 Test wickets, gave away 99 runs as Somerset scored a mammoth 429 all out in 148.5 overs.
The unnamed player has begun to self isolate and other members of the Derbyshire squad have been identified as close contacts.
England vs New Zealand: Wicketkeeper-batsman Ben Foakes ruled out of Tests after freak dressing room injury
Foakes was due to play his first home Test — all eight previous Test appearances have been abroad — but he tore his left hamstring when he slipped on what is believed to be a sock in the Surrey dressing room on Sunday.
Rankin is among the 15 players who have played Test cricket for two countries.
Turning out for Sussex in a County Championship game against Kent on Thursday, Archer finished with figures of 2 for 29 from his 13 overs, which included the wickets of Zak Crawley and Kent skipper Bell Drummond, as the tourists were bundled out for 145.
The 26-year-pacer had sustained an injury at his home in January and the surgery was conducted while he was still undergoing treatment for a long-term elbow injury.
County Championship: Hanuma Vihari scores 32 in his second outing but leaves Warwickshire in trouble against Essex
Vihari was out for 0 and 8 on his County debut against Nottinghamshire but looked far more assured while batting on the second day.
Vihari, who is set to play a minimum three games for the Birmingham-based county, struggled a lot while facing England international Stuart Broad during his agonising 40-minute stay in the middle.
Bird had been due to play for county in six matches starting this month but the 34-year-old has now been told to rest for four weeks because of a bulging disc.
Leicestershire were furious with the dismissal and released a post-match statement revealing they have been in contact with the ECB to complain.
The 27-year-old will provide cover for Pieter Malan at Edgbaston as the South African continues to wait for confirmation of a visa.
The opening batsman, who replaced Jason Holder as red-ball skipper of the Windies last month, will head to Britain at the end of his country's ongoing second Test against Sri Lanka, scheduled to finish on Friday.
The 30-year-old, who made the last of his 12 international appearances for the Proteas in 2016, already has county experience after four seasons with Welsh club Glamorgan.
The County Championship will return next year in a group-stage format after it was scrapped this season due to the coronavirus pandemic, the England and Wales Cricket Board said.
The 32-year-old leg-spinner last played the most recent of his 19 Tests in January of last year and he has not featured for Yorkshire in the first-class County Championship during the past two seasons.
English cricket’s domestic calendar will also include the men’s Twenty20 Blast and a 50-over women’s competition.
The fixtures and format for the upcoming English domestic season are to be decided by the 18 First-Class counties in a meeting in July, and plans will be made for both red and white-ball formats.
The England and Wales Cricket Board (ECB) should consider a shortened County Championship season without overseas players for two years to offset the financial impact of the coronavirus outbreak, former England skipper Michael Vaughan said.