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The duo, together with another ex-RRP partner John Young, will no longer take their case to the High Court.
The row was over the value of the land occupied by the Rogers head office on the Thames at Hammersmith.
The owner of the land is the RRP Pension Fund, to which the practice pays rent. The dispute flared up when Golschmied, who is one of three recipients of the fund, along with Rogers and Young, said the rent should be higher.
But the three have now issued a joint statement. 'Richard Rogers, Marco Goldschmied and John Young have come to an amicable resolution regarding the future of the Thames Wharf Complex,' it states.
'Marco Goldschmied has agreed to buy out Richard Rogers' and John Young's interests in the Thames Wharf Complex and to deal with various ancillary issues.
'The litigation that was commenced by Mr Goldschmied will be discontinued once the terms of the parties' agreement has been finally documented,' it concludes.
And RRP has brought its silence on the matter to an end with this statement: 'RRP notes the statement by Richard Rogers, Marco Goldschmied and John Young and looks forward to formalising the terms of its continuing occupation of Block 2 of Thames Wharf Studios in the very near future.'
Rogers and Goldschied fell out over leadership of the practice in 2004 and Goldschmied walked away from the firm that he had co-led for more than 30 years.
Rogers and Goldschmied end legal battle out of court