Hobden and part-time spinner Wells made light work of Hampshire’s lower order, taking four of the six fourth-day wickets to open their LV= County Championship Division One bid strongly.
Hampshire had resumed on 181 for four and needing 197 runs on the final day, but regular wickets stunted the promoted side’s chase and they were eventually dismissed for 285.
Sean Ervine offered the most resistance for the hosts, scoring 42 off 50 balls.
Nick Compton and Adam Voges contributed the runs which saw Middlesex open their season with a draw at home to Nottinghamshire.
Compton scored 85 and captain Voges added 72 as the hosts built on their overnight score of 57 for one, having been set an unlikely target of 519 at Lord’s.
Nottinghamshire’s bowlers tried their hardest to get the upper hand, with Tim Murtagh taking three wickets, but it was not to be.
In Division Two, Chris Dent hit an unbeaten century as the Gloucestershire opener batted throughout the final day to help his side secure a draw at Northamptonshire.
Dent ended the day 104 not out as Gloucestershire lost only two wickets, ending 267 for two with Will Tavare and Gareth Roderick also making half centuries as Northants bowlers offered little threat of forcing victory.
Resuming on 35 without loss, Gloucestershire never seriously threatened to attempt to chase the victory target of 454, but on a placid final day pitch at Wantage Road Dent’s patient innings ensured his side batted out the day with comfort.
The match between Leicestershire and Glamorgan at Grace Road also petered out to a draw.
The visitors resumed their second innings on 47 for three and eventually declared on 227 for seven, with Chris Cooke top-scoring on 81.
That left Leicestershire with a target of 599 to chase, but the wickets failed to arrive quickly enough for Glamorgan and an unbeaten 59 from captain Mark Cosgrove against his former side saw the home side play out a comfortable conclusion.