The temperature at which 50/50 solder melts is below the range that straws small parts, so over-heating enough to damage the finish wouldn't be a big concern. A proper solder joint uses a flux that is acidic--whether paste or fluid--and therein lies the concern about the finish.
Contact cement should do the trick, but you only have one shot at positioning it. Something with a bit more working time might be appropriate. Whatever the choice, its cleanup should also be non-reactive with the finish.
It's a good idea to make sure the surfaces to be mated are dead flat and as clean of old mastic as possible. Clamping the work will also improve success.
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"... Liberty is the seed and soil, the air and light, the dew and rain of progress, love and joy."-- Robert Greene Ingersoll 1894
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