In other respects, predictions for a new era could be seen.
Literal
Different aspect [in-では], new era [toward-への] predictions [subject-が] were-seen.
局面 means 'aspect/phase/dimension.' では marks it as the domain in which the observation holds. 新しい時代への予測 chains: predictions (予測) toward (への) a new era. 見られた is the passive of 見る meaning 'could be seen/were observed' — the impersonal academic passive.