They're in 2nd with 72 points - the Kiwis eight adrift behind them.
Today's final races for both the men in the 49er and the women in the 49erFX are worth double points and cannot be discarded, so the stakes are high.
Olympic silver medallists Burling and Tuke took the overall lead at the end of day four after being in 9th place going into the day's racing. Burling and Tuke appear to have found their groove with four consistent single digit races including a race win while many of their rivals in the Olympic skiff class struggled for consistency posting mixed results from today.
The NZL Sailing Team pair was 2nd, 3rd, 1st and 7th on the water which earned them the dramatic elevation in the ranks to top the leader-board with two days of racing yet to come.
"We sailed pretty well in our first three races, getting top three in all of those, and then the last one we had a pretty bad first beat and the shifts didn't really go our way, and we managed to come back through and finish inside the top ten so we were really happy with the comeback in the last one," said Burling.
"We needed this day to get back up the standings a bit. It's a different day tomorrow there's a lot of points on the last days and this just puts us back in the mix."
"We had a really good day, super shifty conditions so to get four small numbers on the scorecard was pretty satisfying," added Tuke.
2013 SAP 49er European Titles
NZL standings after day five:
3rd Alexandra Maloney and Molly Meech (10, 9, 6, 2, 10, 3, 7, 17, 7, 4, 10, 10, 2, 12)
(Women's fleet full results)
1st Peter Burling and Blair Tuke (18, 9, 1, 9, DSQ, 1, 18, 3, 2, 1, 3, 7, 4, 1)
8th Marcus Hansen and Josh Porebski (4, 22, 2, 1, 1, 2, 17, 10, 19, 2, 17, 19, 9, 12)
11th in Silver Fleet Ben Goodwin and Sam Bullock