Bids may be submitted by e-mail, in writing or over the phone.
The company said that if accepted, deposits will have to be paid and contracts signed within 24 hours in order to secure the purchase.
Allsop Space is a joint venture between a UK and an Irish company.
The company is also planning to increase use of the internet in future to sell properties, but said it wanted to continue to hold public actions.
A spokesman said: "Like most sectors, the online channel will inevitably have a role to play at some stage in the future, however it is of primary importance that traditional public property auctions are not shut down by the illegal actions of a small minority.
"Public auctions, where buyers and sellers can transact business openly, without fear of intimidation, have a major role to play in establishing a true pricing floor in this property market and ultimately play a part in helping this country's economy move towards a better equilibrium,'' he said.
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