Dale Benkenstein hit 60 not out as Durham claimed a tense five-wicket success over Lancashire at Liverpool.
Durham have split their captaincy with Phil Mustard leading the four-day side and Dale Benkenstein on limited-overs duty.
Ian Blackwell saw Durham to a six-wicket success over Kent on the final morning with an unbeaten half-century.
Relegated Worcestershire held firm with the bat on the final day at New Road to secure a draw against Durham.
Durham claimed their seventh County Championship win of the season with a comfortable victory over Warwickshire at Chester-le-Street.
Marcus Trescothick, Justin Langer and Craig Kieswetter all scored centuries on the final day to guide Somerset to safety.
Dale Benkenstein was left to lament more bleak English weather after day one of Durham's clash with Kent was washed out.
Justin Langer is happy with Somerset's position heading into the final two games of the Championship season.
Durham's defence of the FP Trophy ended with an 83-run semi-final defeat to Kent at the Riverside on Friday.
Durham clinched their place in the quarter-finals of the Twenty20 Cup after a seven-wicket win over Derbyshire.
Surrey finished at 83-3 in pursuit of a victory target of 270 against Durham at the Riverside.
Dale Benkenstein was a relieved captain after his Durham side began their Friends Provident Trophy defence with a win.
Jacques Kallis and Chris Gayle are amongst the latest international recruits to the Indian Premier League.
Durham could yet win the County Championship after beating Kent by eight wickets in their final game of the season.
Durham chased down a target of 276 to beat Worcestershire and move up to second in Division One.
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