LONDON, April 29 (Reuters) - BHP's $39 billion

bid will be the elephant in the room at Anglo American's

Tuesday annual general meeting, with regulations meaning little

can be said about the spurned offer.

The world's biggest listed mining group is considering

making an improved offer for Anglo, a source familiar with the

matter told Reuters on Saturday, after its initial takeover

proposal was rejected last week.

Anglo shareholders would be keen to hear details of its

strategy to respond to the bid at its AGM, which kicks off at

1000 GMT on Tuesday in London and online.

However, executives are unlikely to be able to discuss the

company's plans due to restrictions in the UK Takeover Code,

apart from a repeat of Anglo's statement rejecting the offer, a

source familiar with the matter said.

Anglo rejected the offer on Friday as opportunistic,

significantly undervaluing the miner and its future prospects.

"The company might use the opportunity to talk about other

strategic combinations or disposals, but (it) will be difficult

to do anything apart from the same speculation they have already

engaged with," said analyst Ben Davis at Liberum.

In February, after Anglo reported a 94% plunge in annual

profit and writedowns at its diamond and nickel operations, it

announced a review of all its assets.

At the time, CEO Duncan Wanblad said the two assets dragging

on Anglo's portfolio are its Anglo Platinum (PGMs) and diamonds

businesses.

The Wall Street Journal said last week Anglo was considering

selling diamond giant De Beers, of which it owns 85%.

Last week's bid included a spin out of Anglo's iron ore and

platinum assets in South Africa, where BHP has no activities.