Candida spp. is rarely found in neonatal early-onset sepsis (EOS) etiology. However, candidemia is associated with increased mortality and morbidity, as in late-onset sepsis. Congenital candidiasis may present as a mucocutaneous infection or, more rarely, as a systemic infection in term and preterm infants. This paper presents case reports of two cases of congenital systemic candidiasis (CSC) caused by Candida albicans and a review of the data in the literature. An electronic search of PubMed, Scopus, and Google Scholar was performed to identify publications on congenital candidiasis. Both neonates were male, born vaginally, with risk factors for congenital candidiasis. One of the infants was born at term and presented with an almost generalized maculopapular rash at birth and congenital candidemia; parenteral fluconazole was used successfully. The other infant was born prematurely at 28 weeks of gestation; blood culture, gastric aspirate, and maternal vaginal cultures sampled at birth were positive for C. albicans. Liver and kidney involvement became apparent on the third day of life, while lung involvement was clinically evident on the fourth day. Prolonged parenteral fluconazole was administered due to multiple organ involvement and persistent candidemia. Our experience with the presented cases, similar to data in the literature, suggests that CSC may occur at any gestational age, with various clinical pictures, sometimes mimicking bacterial sepsis, and even in the absence of the rash. Careful anamnesis and a high index of suspicion are important for the prompt recognition and treatment of CSC, optimizing the short- and long-term outcomes. Further research should focus on CSC to improve its diagnosis.