Moors slip to a 5-0 defeat in North Wales.
It was always going to be a tough fixture against a Wrexham side with a 100% home record so far this season.
Goals from Ollie Palmer and Paul Mullin either side of half-time were enough to put the hosts into a comfortable lead.
Kyle Storer was shown a red card in the 63rd minute that put any chances to get back into the game beyond Moors' reach.
Arron Hayden added a third, before Mullin completed his hat-trick with a quick-fire double towards the end.
Jamey Osborne again missed out through injury, whilst Joe Sbarra missed the game through an ankle injury picked up against Telford in midweek.
Ben Coker was also suspended, and Ethan Vaughan out injured meaning it was a three at the back for Neal Ardley's side, with Fiacre Kelleher and Alex Gudger lining up alongside Callum Howe who made his first league start since Yeovil at the start of October.
Storer started for his 200th appearance in a Moors shirt.
The game was played at intense pace from the off and inside a minute Andrew Dallas broke clear down the left, as he looked set to pull the trigger Jacob Mendy caught up to close the danger.
It was a half of few chances; Joey Jones had a pop from 25 yards out that deflected just wide in the 11th minute, and Boot was forced into a double save a few moments later to deny Mendy and then Mullin on the rebound.
Five minutes from the whistle the game sprung into life, Mullin had another effort which he fired narrowly wide, before Dallas dragged an effort after some neat work on the edge of the Wrexham area.
It was moments later in the 43rd minute that the hosts took the lead through Palmer. An innocuous header forward found the unmarked striker on the edge of the area, he turned and blasted into Ryan Boot's bottom-right corner for a crucial goal just before half-time.
Half-time: Wrexham 1-0 Solihull Moors
In the 51st minute, the hosts doubled their lead through leading marksman, Mullin. After Moors gave the ball away inside their defensive third, Mullin was presented with a chance that he wasn't going to pass up, burying into the bottom-left corner.
Wrexham quickly continued to push for more, Palmer curled an effort from the edge of the area narrowly wide, before Boot turned a Mullin effort onto the crossbar just minutes later.
In the 63rd minute, Storer was shown a straight red card for a late challenge on Luke Young.
With the man advantage, Wrexham kept pushing and in a ten-minute spell, added gloss to the scoreline. Hayden grabbed the third, arriving to meet a low cross and tap in from close range.
And shortly after Mullin added his second and third, both from rebounds. His second came from the edge of the area after a fierce long-range effort cannoned off the post, and his hat-trick came after pouncing on a Boot save to stab home.
A scoreline that didn't tell the full story after a bright first-half, Moors will now look ahead to the reverse fixture on January 2.
Full-time: Wrexham 5-0 Solihull Moors
Solihull Moors: Boot (GK), Clarke, Kelleher, Howe, Gudger, Barnett, Storer (c), Jones, Maycock, Kelly (Cybulski 73), Dallas (Donawa 73).
Subs not used: Moulden (GK), Whelan.
Attendance: 10,150 (192 Moors)
Next-up: Wrexham (H) - 2/1/23