Thank you guys, I sort of zeroed in on the solution from your replies.
Little by little I am learning how things are done in web2py. :)

tblBalias = db.skedp.with_alias('tblBalias')

desired_result = db(db.tblB.fkA == 1).select(db.tblB.name,
db.tblB.data, tblBalias.data,
        left = tblBalias.on( (tblBalias.name == db.tblB.name) &
(tblBalias.fkA == 2) ) )

Massimo, tblA is just a backgrounder to explain the fkA in tblB.

A follow-up question: is it more efficient to use,
        left = tblBalias.on( (tblBalias.fkA == 2) & (tblBalias.name ==
db.tblB.name) )
instead of,
        left = tblBalias.on( (tblBalias.name == db.tblB.name) &
(tblBalias.fkA == 2) ) )
?

It is expected that (tblBalias.fkA == 2) has far less results than
(tblBalias.name == db.tblB.name) .

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