The Bhagavata places the birth of the creator inside the birth of the cosmos. The egg of the universe drifts on the causal ocean for over a thousand years until the Lord enters it and lies within as the one who rests on the inner waters. From his navel a lotus rises, bright as a thousand suns together, and Brahma is found seated on it. Everything that follows — the worlds, the sages, the gods — is Brahma's work, but the flower he sits on grows from Vishnu.
The Vishnu Purana opens by declaring that the universe arises from Vishnu, exists in him and returns to him, with Brahma and Shiva as dependent aspects. Its first book carries the same picture of the creator emerging from the sustainer, framed as the sage Parashara's answer to Maitreya.
What is different here:
States the dependency of Brahma and Shiva on Vishnu as doctrine rather than through the lotus image alone; the egg wording in Book I chapter 2 was not verified against a translation.