Paceman Jerome Taylor boosted his hopes of staying in the West Indies team by taking five wickets as the MCC reached 234-7 on the opening day in Durham.
Taylor finished with 5-43 off 18 overs against an inexperienced team led by Sri Lanka star Sanath Jayasuriya.
But it was a day of mixed fortunes for the tourists as Chris Gayle and Ravi Rampaul left the field with injuries.
Laurie Evans top-scored with a patient 51 for the MCC before he was caught behind by Denesh off Taylor.
Taylor's wickets were just the boost the visitors needed after their innings defeat by England in the second Test at Headingley.
Captain Ramnaresh Sarwan went home with a shoulder problem after that and stand-in skipper Daren Ganga lost the toss on a sunny morning in the north east.
Jayasuriya opted to bat and his side were soon in trouble against disciplined bowling.
Edwards looked lively and got the early breakthrough when Paul Dixey was in all sorts of trouble against a short delivery and the ball looped to Runako Morton at slip.
Taylor made an almost instant impact by bowling Zoheb Sharif in his second over and then trapped William Porterfield lbw with a swinging full-toss.
James Morris (30) added 83 with Evans but both edged behind to keeper Denesh Ramdin and Jayasuriya managed only 18 when he fell to the on-song fast bowler.
But the West Indies were hit by Gayle's withdrawal shortly after lunch with a stomach strain and Rampaul visiting hospital for a scan on a thigh injury later in the session.
Darren Sammy then got in on the act after tea, bowling Simon Butler for 12 and the seventh wicket with the score on 188.
Shaaiq Choudry (45 not out) and Sir Viv Richards' son Mali Richards (20 not out) put on an unbeaten 44 to bring the MCC side back into the reckoning at stumps.
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