As shown in this answer, the Devi PurAna account gives the widely known 10 MahAvidyAs. The account from the Devi BhAgavatam, on the other hand, does not include the origin of 2 MahAvidyas namely- DhumAvati and Bhuvaneswari.
The Devi PurAna account gives:
Lord Shiva asked " Who are you ShyAmA (the dark complexioned one)?
Where is my beloved Sati?"
Devi laughingly replied " Can't you recognize me? I am your own Sati.
I'm the SrishtistithisamhArakArini SukshmA Parkriti. For being your
wife i have become fair complexioned (Gauri). The ten Devis that you
see around you are also my forms. Hence, O MahAmati Shambhu, do not
Sati said to her husband who was afflicted with fear " The Goddess who
is in your front is BhimanayanA MahakAli, in the sky (or in the
antariksha direction) is TArA, on the right side is ChinnamastA, on
your left is Bhuvaneswari, behind you is BagalAmukhi, at the
south-east corner (Agni Kona) is DhumAvati, in the south-west corner
(Nairitkona) there is KamalA, in the north0west corner (VAyukona)
there is MAtangi , in the north-east corner (IshAna kona) there is
Shodashi (Tripura Sundari) and in your own self i am existing as
Now, if you want i can teach that proud Daksha a lesson by destroying
So, this story mentions all the usual ten names of the MahAvidyAs we find in the Tantras viz:
KAli tArA mahAvidyA shodashi bhuvaneswari |
cha vidyA dhumAvati tathA ||
BagalAmukhi siddhavidyA mAtangi
EtA dasha mahAvidyA siddhavidyA prakirtitAh ||
The same names are also mentioned in the Brihaddharma PurAna:
MahAvidyA imAh proktA nAmAnyAsantu varnaye |
KAli tArA mahAvidyA
shodashi bhuvaneswari ||
BhairvaichinnamstA cha sundari
dhumAvati cha mAtangi mahAvidyA dashaiva TAh ||
Brihaddharma PurAna, MadhyabhAga.
Also, here the MahAvidya word has been used explicitly.
On the other hand, from the the Devi BHAgavatam we find:
As a result of that penance, Goddess was pleased and Devi
Bhuvaneswari, Maheswari, PArvati displayed her spectacular form which
is endowed with infinite number of eyes.
Iti samprArtitA devi bhuvaneshi maheswari |
darshyAmAs pArvati ||
Devi BhAgavatam 7.28.31-33
From those infinite number of eyes of Goddess PArvati, for nine days,
continuously flowed tears.And as a result the dry and lifeless earth
got rejuvenated. The Gods came out of the caves and started eulogizing
Goddess. Durgama got informed of all the happenings from spies and
came to fight Goddess.
Now, during this battle from Goddess SatAkshi's body emerged 32 MahAshaktis and 64 Divyashaktis and numerous Shaktis all equipped with many weapons. Among the 32 MahAshati we find the names of all the MahAvidyas except DhumAvati and Buvaneswari.
KAlikA tArini bAlA tripurA bhairvai ramA|
bagalA chaiva mAtangi
tathA tripurAsundari ||
KAmAkshi kulajA devi jambhini mohini tathA
ChinnamastA guhyakAli dashasAhasra bahukA ||
DvAtrimshacchayashchAnyA devyah samudbhutAstu sAyudhAh ||
Devi BhAgavatam 7.28.55-57
So, not all the 10 traditional names are found in this account. The word MahAvidyA is also not used anywhere. That's why the 10 MahAvidyas emerging from Goddess Sati's body should be taken the more comprehensive account of their origin IMO.
Interestingly, in the Dasha MahAvidyA Stuthi found here, Goddess Bhuvaneswari is praised as:
She is the goddess of the universe. She is normally depicted with four
hands, with goad, rope and the other two showing giving boons and
Pasankusa dari durgam asura samharini,
Shatakshi sakambari nama Vikhyathe
So, Goddess PArvati's form, which is endowed with an infinite number of eyes, is Goddess Bhuvaneswari herself. And the Devi BhAgavatam mentions that from Bhuvaneswari or PArvati the remaining MahAvidyAs have emerged (with exception of DhumAvati).
So, that's why Goddess Bhuvaneswari's name is not found in the list of the Goddesses who emerged out of Goddess PArvati's body. However, this does not explain why DhumAvati is not mentioned.
Anyways, an interesting point to note here, is that apart from KAlikA, the only other Dasha MahAvidya who is also called as AdyA (or the primordial one) is Bhuvaneswari.
From the DhyAnam of Goddess Bhuvaneswari's three-lettered mantra we find:
VarAnkushau pAsham bhiti mudrAm karairvahantim kamalAsanasthAm |
BAlArka koti pratimAm trinetrAm bhajeham AdyAm bhuvaneswarim TAm