"We welcome the SC order. Finally, some balance has been restored. Some good gesture has been made.
"I think these people should not continue to hold public positions like that of a minister if they have any moral authority left," CPI(M) general secretary Sitaram Yechury told reporters here.
Noting that the case has been going on for past few decades, Yechury hoped the court proceeds in a "proper manner" to deliver justice in time.
The apex court, however, noted that Singh enjoys Constitutional immunity and can be tried only after he ceases to hold the office.
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Kalyan Singh was the chief minister of UP in 1992.
Top BJP leaders L K Advani, M M Joshi and Uma Bharti will be tried for criminal conspiracy in the 1992 Babri mosque demolition case as the SC today allowed the CBI plea to restore the charge against them.
The court also clubbed the trial in the matter pending against the leaders and 'karsevaks' and ordered day-to-day trial with the proceedings to be completed in two years.