Romola
"Offers in excess of" is how property is priced in Scotland. The whole process is quite different there, arguably more straightforward than in England and Wales. Solicitors act as estate agents there. If property does not attract the asking price, the solicitor/estate agent might ask for sealed bids from interested buyers. Once an offer has been accepted, that is binding and neither party can go back on it.
Most properties in Scotland are advertised by estate agents. Verbal acceptance is not binding. The process is:
House prices in Scotland can be advertised in various forms including "Offers Over", "Offers in the Region Of", or "Fixed Price".
If you are interested in purchasing a house your solicitor "Notes an Interest" to the seller's solicitor. You may, or may not, make an offer at this point, if the house is likely to go to a closing date it is better not to offer unless you can offer enough to prevent that happening. Whilst the estate agent and/or solicitor prefers any bids go through them you can negotiate with the seller directly.
A "Closing Date" is the Scottish equivalent of English “Sealed Bids”. If there is enough interest a seller may decide to set a "Closing Date" when the interested parties can submit their best offer.
The contract is not binding by verbal acceptance, the "Missives" (the terms of the contract) are drawn up by the solicitors and the contract is binding once these are exchanged (signed).
I gave sold/purchased a properties both in Scotland and England. Both systems have their positives and negatives but in all cases the support of the solicitor is key. I've completed purchases in Scotland within two weeks, they were exceptionally helpful solicitors and uncomplicated properties