After just 9 days from 1.0 release, VMware already updated its Player product.
The new build (19317) addresses a major security issue discovered and communicated to VMware before posting on SecurityFocus (as ethical bug hunting should always be).
The flaw permits a malicious guest OS configured to use VMware NAT networking (VMnet8) to execute arbitrary code on host OS.
To track the issue monitor the related VMware Knowledge Base article.
Download Player 1.0.1 here as usual.