After Alvis elected to bat, Joe Poole trapped opener Ritesh Kansara lbw for six and Tom Austin had number three Tavadia caught behind for seven.
Dhruv Pathak moved on to 41 from 52 balls before being caught at slip off the bowling of Darren Wyatt and spin duo Anil Lohan and Jon Amor claimed a wicket each to reduce Star Alvis to 97 for five.
Nipun Sibal and Sukhmanjeet Mann staged a recovery, putting on 102 before Sibal fell on 43, caught off the bowling of Austin.
However Mann continued to score freely, progressing to 73 from 47 balls before being dismissed by Austin (4-61) as Star Alvis closed their 50 overs on 222 for eight.
Jim Figgitt and Timmy Mead departed in successive balls in reply before Jon Davis dropped anchor.
Wyatt offered some resistance with 22 but at 88 for seven with 12 overs remaining, Warwick were staring down the barrel of defeat.
Austin helped absorb the overs, facing 28 balls for his two and Anil Lohan (8 not out) joined Davis (59 not out) to see Warwick through to close on 142 for eight.
Warwick 2nds suffered a five-wicket defeat at Bulkington after failing to build on a solid second-wicket partnership between Rob Tandy and Owen Griffith.
Tandy fell for 36 with the score on 67 and Griffiths pushed on to make 57, but despite an unbeaten 37 from Jamie Harding, Warwick’s total of 160 for seven looked under par.
Warwick were given an early boost when skipper Steve Webb had opener Bassett trapped lbw for three.
However, Nicholds (30) and Cox (24) consolidated before Sean Hirrons took the game away from the visitors with an unbeaten 88.
Mushtaq and Tandy claimed a wicket each but Bulkington had paced their innings to perfection and reached 164 for five in the 44th over.
Warwick’s 3rds were humbled by Bidford-Upon-Avon in the Cotswold Hills Division Seven.
Put in to bat, Warwick were dismissed for just 27, with Bidford knocking off the runs for the loss of two wickets.
Warwick’s Sunday 2nds had much the better of a winning draw against visitors Alvechurch.
Warwick’s innings was a tale of two centurions and not much else, with Matt Warren scoring a stylish 105 and new-boy Tanya Munyaradzi blasting a quickfire unbeaten 102 from number six.
Munyaradzi received useful support from Tom Wyatt (25 not out) as Warwick closed their 40 overs on a commanding 269 for seven.
Munyaradzi then ripped through the visitors’ top order, claiming four for 18 to leave them precariously placed on 24 for four.
Mark Rollins (42) and N Rehman (23) showed some resistance before Paul Caines (41 not out) and Andrew Duggins (21 not out) dug in.
Warwick tried eight bowlers in an attempt to force victory but Alvechurch held on to close on 156 for six.
Warwick’s Sunday first XI were without a game after Bablake were unable to field a team.