Tomcat + JSF + CDI + RestFull Erro

Front-end
#1

Estou com um projeto web JSF, rodando no Tomcat, com Injeção de dependência (CID), quero adicionar nele o RestFull WebService (jersey).

Apostos todas as configurações o WebService não funciona retornando o seguinte erro mostrado abaixo

O problema que estou tendo é com o CDI, pois quando tiro ele o WebService passa a funciona normalmente.

exception

javax.servlet.ServletException: Servlet.init() for servlet Jersey REST Service threw exception
	org.apache.catalina.authenticator.AuthenticatorBase.invoke(AuthenticatorBase.java:472)
	org.apache.catalina.valves.ErrorReportValve.invoke(ErrorReportValve.java:99)
	org.apache.catalina.valves.AccessLogValve.invoke(AccessLogValve.java:947)
	org.apache.catalina.connector.CoyoteAdapter.service(CoyoteAdapter.java:408)
	org.apache.coyote.http11.AbstractHttp11Processor.process(AbstractHttp11Processor.java:1009)
	org.apache.coyote.AbstractProtocol$AbstractConnectionHandler.process(AbstractProtocol.java:589)
	org.apache.tomcat.util.net.JIoEndpoint$SocketProcessor.run(JIoEndpoint.java:310)
	java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1110)
	java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:603)
	java.lang.Thread.run(Thread.java:636)
root cause

java.lang.RuntimeException: javax.naming.NameNotFoundException: Name [CDIExtension] is not bound in this Context. Unable to find [CDIExtension].
	com.sun.jersey.server.impl.cdi.CDIExtension.getInitializedExtension(CDIExtension.java:177)
	com.sun.jersey.server.impl.cdi.CDIComponentProviderFactory.<init>(CDIComponentProviderFactory.java:92)
	com.sun.jersey.server.impl.cdi.CDIComponentProviderFactoryInitializer.initialize(CDIComponentProviderFactoryInitializer.java:75)
	com.sun.jersey.spi.container.servlet.WebComponent.configure(WebComponent.java:576)
	com.sun.jersey.spi.container.servlet.ServletContainer$InternalWebComponent.configure(ServletContainer.java:312)
	com.sun.jersey.spi.container.servlet.WebComponent.load(WebComponent.java:608)
	com.sun.jersey.spi.container.servlet.WebComponent.init(WebComponent.java:210)
	com.sun.jersey.spi.container.servlet.ServletContainer.init(ServletContainer.java:374)
	com.sun.jersey.spi.container.servlet.ServletContainer.init(ServletContainer.java:557)
	javax.servlet.GenericServlet.init(GenericServlet.java:160)
	org.apache.catalina.authenticator.AuthenticatorBase.invoke(AuthenticatorBase.java:472)
	org.apache.catalina.valves.ErrorReportValve.invoke(ErrorReportValve.java:99)
	org.apache.catalina.valves.AccessLogValve.invoke(AccessLogValve.java:947)
	org.apache.catalina.connector.CoyoteAdapter.service(CoyoteAdapter.java:408)
	org.apache.coyote.http11.AbstractHttp11Processor.process(AbstractHttp11Processor.java:1009)
	org.apache.coyote.AbstractProtocol$AbstractConnectionHandler.process(AbstractProtocol.java:589)
	org.apache.tomcat.util.net.JIoEndpoint$SocketProcessor.run(JIoEndpoint.java:310)
	java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1110)
	java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:603)
	java.lang.Thread.run(Thread.java:636)
root cause

javax.naming.NameNotFoundException: Name [CDIExtension] is not bound in this Context. Unable to find [CDIExtension].
	org.apache.naming.NamingContext.lookup(NamingContext.java:820)
	org.apache.naming.NamingContext.lookup(NamingContext.java:168)
	com.sun.jersey.server.impl.cdi.CDIExtension.getInitializedExtension(CDIExtension.java:175)
	com.sun.jersey.server.impl.cdi.CDIComponentProviderFactory.<init>(CDIComponentProviderFactory.java:92)
	com.sun.jersey.server.impl.cdi.CDIComponentProviderFactoryInitializer.initialize(CDIComponentProviderFactoryInitializer.java:75)
	com.sun.jersey.spi.container.servlet.WebComponent.configure(WebComponent.java:576)
	com.sun.jersey.spi.container.servlet.ServletContainer$InternalWebComponent.configure(ServletContainer.java:312)
	com.sun.jersey.spi.container.servlet.WebComponent.load(WebComponent.java:608)
	com.sun.jersey.spi.container.servlet.WebComponent.init(WebComponent.java:210)
	com.sun.jersey.spi.container.servlet.ServletContainer.init(ServletContainer.java:374)
	com.sun.jersey.spi.container.servlet.ServletContainer.init(ServletContainer.java:557)
	javax.servlet.GenericServlet.init(GenericServlet.java:160)
	org.apache.catalina.authenticator.AuthenticatorBase.invoke(AuthenticatorBase.java:472)
	org.apache.catalina.valves.ErrorReportValve.invoke(ErrorReportValve.java:99)
	org.apache.catalina.valves.AccessLogValve.invoke(AccessLogValve.java:947)
	org.apache.catalina.connector.CoyoteAdapter.service(CoyoteAdapter.java:408)
	org.apache.coyote.http11.AbstractHttp11Processor.process(AbstractHttp11Processor.java:1009)
	org.apache.coyote.AbstractProtocol$AbstractConnectionHandler.process(AbstractProtocol.java:589)
	org.apache.tomcat.util.net.JIoEndpoint$SocketProcessor.run(JIoEndpoint.java:310)
	java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1110)
	java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:603)
	java.lang.Thread.run(Thread.java:636)
#2

Ainda estou com o problema, mas parece que tem solução.
Usando o Jersey com Tomcat gera conflito pois o Tomcat também tem uma implementação de WebService

Encontrei configurações para serem feitas no “tomcat/conf/system.property”

adicionando este código.

com.sun.jersey.server.impl.cdi.lookupExtensionInBeanManager=true
#3