The firm soon started using the logo and fancy back as on card 510 and this lasted until 1929. The curvy monogram which looks like SAC but must actually be ATC was used on views for a time around 1930. These, as most Traldi cards, actually name Traldi. Some, eg the example T.A.M. and A.T.M cards, don't. A.T.M. seems much less common that T.A.M. Cards A.T.M. 7524 (shown here) and T.A.M. 7524 (not shown) are part of the same series with common Stampa number, so presumably the logo changed as the card was reprinted. The ATM card has a small "UZ" logo at the bottom left, perhaps the block maker.
Traldi published a series of film stars postcards, there is a catalog of these in the Image Archive section of the Ross postcards site.
The 1933 Milan directory lists the firms activities as: Stampa foto grafica artistica industriale; edizioni proprie e per conto clienti , di fotografie, cartoline, albums, cartelli reclame. Esportaz .: Messico, Argentina, Polonia , Jugoslavia, Grecia, Francia, Belgio, Egitto, Turchia - Rappresentanti all'estero: Messic : Francesco Martiniani; Buenos Ayres: G. Franco Diligenti; Varsavia: Eugenio Del Gaiso ; Istanbul: Arthur Braun.