Otago fought back strongly in the second inning to take the honours from the match, but no points. Wellington held on to force the draw after securing first-innings points.
Coach Mike Hesson was pleased with Otago's determination over the final two days.
"Our last four batsman did the job for us today and got us out of trouble," Hesson said. "We have been aggressive over the last two days and I was pleased with that."
Otago's last three batsman added 99 runs yesterday, and Wellington was left needing 314 runs to win.
Paceman Wagner and left-arm spinner Nick Beard gave Otago some early breakthroughs, reducing the home side to 41 for 4.
Two more quick wickets fell after the tea break but a stubborn, unbeaten seventh-wicket stand of 104 by wicketkeeper Joe Austin-Smellie (75 not out) and Harry Boam (23no) saved the game. At close of play, Wellington was 225 for six.
"It was a flat wicket and after a partnership developed it was hard to dislodge, " Hesson said. "The early wickets counted against us because they [Wellington batsmen] shut up shop."
Wagner moved to Otago from South Africa two years ago in a move to play test cricket for New Zealand.
In the past three seasons the left-arm opening bowler has demonstrated all the attributes he needs to make the step up to international cricket.
He was Otago's most successful bowler in the State Shield competition in his first year with 24 wickets and has already matched that with 24 scalps this summer.
He took six for 55 against Northern Districts, four for 60 and six for 50 against Auckland and four for 70 and four for 51 against Wellington.
He is also a useful lower-order batsman who can be severe on anything short, as he showed with a determined 62 in Otago's second-innings fightback.
"Neil came back with a lot of pace after the tea break and just needed a bit of luck to get more wickets," Hesson said.
Beard, a Dunedin-born-and-bred left-arm offspinner, made his debut for Otago two years ago and showed his growing maturity with an accurate display to take two for 56 in Wellington's second innings.
He also played a key role in Otago's second dig with a gritty 62 when sent in as a nightwatchman at the end of the second day.
"Nick gets better with each game and is growing in confidence with more continuity of play," Hesson said.
Otago added 99 runs yesterday to take its score to 420.
Derek de Boorder and Neil Wagner added 62 for the ninth wicket but there remained work to do when Wagner was out for 55 in an innings that included eight fours.
The last-wicket stand of 75 between de Boorder and Warren McSkimming took the game out of Wellington's grasp and left it with an almost insurmountable target of 314.
De Boorder batted for just under five hours for a patient 62 that included seven fours.
McSkimming's 36 included four boundaries and two sixes.
There is a break from the four-day Plunket Shield for a month to make way for the twenty/20 competition.
Central Districts' dream start to the Plunket Shield continued yesterday as it cruised to a six-wicket defeat of hapless Auckland, NZPA reported.
The last rites were completed by lunch on the final day at Auckland's Colin Maiden Park as CD coasted to 189 for four, notching its third outright win in the first three rounds of the competition.
