Australia A 253 and 297 for 5 (Renshaw 140, Ward 63, van Beek 2-47) lead New Zealand A 246 (Solia 60, Bruce 44, Hay 43, Buckingham 6-58) by 304 runs
Matt Renshaw piled on another century in New Zealand to keep up in the hotly contested race for an Ashes berth.
The Australia A opener scored 140 against New Zealand A in Lincoln on the third day as the visitors reached 297 for 5 in their second innings before bad light stopped play.
First-innings century-maker Aaron Hardie (33) was run-out, while Tim Ward made 63 in a 136-run stand with Renshaw.
Ward, who had passed 50 in both innings of the first game as well, relished his time in the middle with Renshaw.
"Love it; the three times we've batted together we've had partnerships over a hundred," he said. "I really like batting with him. He keeps it really simple and is a cool head out there."
Ward admitted his call-up was a surprise after a lean run to finish the Sheffield Shield season.
"But I'm happy my hard work has got me here and selectors have shown a bit of faith," he said. "I've developed a bit of clarity around my game; where I wanted to score, defend and leave."
Late call-up Jordan Buckingham was the destroyer on Saturday with a six-for, and Renshaw took 2 for 32 as the hosts were bowled out for 246.
Australia A lead by 304 ahead of Tuesday's final day of the two-game series. The hosts won from a similar position in the series opener.
Renshaw missed out in the first innings of this match but has otherwise dominated, scoring 112 and then 78 off just 72 in the first game of a tour designed to replicate the conditions Australia will encounter during the Ashes in England in June and July.
And Renshaw has needed every run, as contenders queue up to replace David Warner at the top of the order should he retire or not be selected to face England.
Marcus Harris, awarded an Australian central contract ahead of Renshaw, has begun his County Championship campaign with a half-century and century for Gloucestershire. Cameron Bancroft, meanwhile, scored 44 and 0 for Somerset.
Renshaw was recalled to Australia's Test squad for the recent tour to India to bat in the middle order, but he did himself no favours with scores of 0, 2 and 2.