Story highlights "I've met much tougher people than Ted Cruz. He is like a baby compared to some of the people I have to deal with," Trump said.

The attacks come as Cruz and his allies have laid into Trump's stances on a number of issues important to conservatives

(CNN) Donald Trump on Tuesday called his GOP presidential rival Ted Cruz "a baby" as he dug in on his attacks against the Texas senator, one day after calling Cruz "sick."

"I've met much tougher people than Ted Cruz. He is like a baby compared to some of the people I have to deal with. He is like a little baby: soft, weak, little baby by comparison," Trump said at a campaign rally in Sparks, Nevada, after slamming Cruz yet again as "the single biggest liar I have ever dealt with."

Trump later added, "I'd like to really win in Texas. Wouldn't that be great? I love Texas. I love Texas. And I think now that (Cruz) has exposed himself as a nasty person who lies a lot, I think he's going to go way, way down in Texas. So I think we have a shot in Texas."

Cruz responded on Twitter on Tuesday evening, by comparing Trump to the Austin Powers movie series villain Fat Bastard.

".@realDonaldTrump, showing class & grace, calls me a "soft weak little baby." Hope he doesn't try to eat me," Cruz tweeted

.@realDonaldTrump, showing class & grace, calls me a "soft weak little baby." Hope he doesn't try to eat me! https://t.co/bv9ID4lEhF — Ted Cruz (@tedcruz) February 24, 2016

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