The Bulls earned six of the 10 points available thanks to wins on two rinks and the aggregate victory.
Top rink went to Keith Lyons, Roger Dutton, Richard Krupa and skip Warwick Davis, who beat Antony Bull's rink 23-11. The Bulls were never behind, scoring two fours and two threes, while restricting Southbourne to ones and twos from the seven ends they took.
A further two points were gained by Malcolm Gardiner, George Rhodes, Ken Chapman and skip Simon Warr. They also took 11 of the ends against Peter Jasinksi's rink in winning 20-12, which included 10 shots in three ends around halfway.
Derek Little skipped Graham Morrey, John Ives and Keith Wadhams in the closest game, against Dave Alner's rink. After nine ends the Bulls trailed by eight shots but levelled the scores on the 13th. They went one-up with a five on the 16th before conceding two singles to lose 19-18.
Brian Jones, Peter Woods, Jonathan Gauntlett and skip Gavin Beven started well against Harry Harrison's rink and led by a shot after 11 ends. They managed only one more, however, while conceding 13 to give Southbourne a 22-11 win.
Four players made their debut for Pavilion Bears as they took five of the 10 points from their first league match.
The Bears, last year's Division One champions, welcomed Bognor A, last year's Division Two champions, to Pavilion Road for a match played on a lightning-fast green with lots of idiosyncrasies.
Allan Banks, Ian Godden, Alex Meadows and Ian Slater, the debutants, helped the Bears to one winning rink, one tied rink and victory by 77 shots to 65 on aggregate.
Bognor shared the spoils only two days after suffering the indignity of a 10-0 whitewash in their season-opener against Norfolk A in Littlehampton.
Top rink for the Bears went to Andy Peters, Alex Meadows, Colin Davey and skip Simon Davey, who restricted the visitors to four singles from the 18 ends and scored heavily from the start for a 31-4 win.
Dave Thomas, Mick Steggell, Ian Slater and skip Ian Godden dropped four shots on the first end but quickly recovered. Two up with two to play, they conceded another four to Bognor before a two on the last secured a 21-21 tie and a further rink point.
Bryan Bodicoat, John Winkley, Russ Doherty and skip Jamie Dunk lost their early advantage to a three on the 11th end and a five for Bognor on the next put them six clear. The Bears narrowed the gap to a single shot with three to play but lost them all in an 18-12 defeat.
Nour Dissem, Allan Banks, Francis Fahey and skip Jeremy Simpson scored a two on the first and a five on the last, though with little to show for their efforts on the other 16 ends they found themselves on the wrong end of a 22-13 result.
Pavilion won for the first time at the second attempt in this season's Brodie Tray league, defeating Southwick by 69 shots to 61.
Victory at home against the defending Brodie champions was hard fought, no more so than in the pairs game. On the18th end, Malcolm Gardiner and skip Simon Warr scored a crucial four to overhaul Alan Jones and Kevin Yeo and register a 19-18 win. It was an improbable outcome after Pavilion's duo trailed 10-0 after five ends.
Top rink went to Allan Banks, Roger Dutton and skip Ken Chapman, who took 13 of the 18 ends and won 20-11. A burst of eight shots in three ends from the eighth did the damage for Pavilion.
Brian Jones, Andy Peters, Pam Duffield and skip Mike Spinks dominated the early stages against Southwick's rink but were only one shot clear with seven to play after conceding a four and a pair of twos. Pavilion regained control with a three and eventually won 18-11.
Ian Down, Sue Gubbins and skip David Berry lost their triples game 21-12 but the four shots they scored on the final two ends were an important contribution that helped Pavilion take eight of the 10 match points.